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Finding the Fourth Proportional to 16,295,245.60, 24,442,868.40 and 8,205,095.20

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Solution

The fourth proportional to 16,295,245.60, 24,442,868.40 and 8,205,095.20 is: 12,307,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295,245.60 : 24,442,868.40 = 8,205,095.20 : x
  2. Step 2: Convert to fraction form
    16,295,245.60/24,442,868.40 = 8,205,095.20/x
  3. Step 3: Cross multiply
    16,295,245.60x = 24,442,868.40 × 8,205,095.20
  4. Step 4: Simplify right side
    16,295,245.60x = 200,556,062,183,071.69
  5. Step 5: Solve for x
    x = 200,556,062,183,071.69/16,295,245.60
  6. Step 6: Final answer
    x = 12,307,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.