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Finding the Fourth Proportional to 16,394.40, 24,578.10 and 7,041.60

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Solution

The fourth proportional to 16,394.40, 24,578.10 and 7,041.60 is: 10,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.40 : 24,578.10 = 7,041.60 : x
  2. Step 2: Convert to fraction form
    16,394.40/24,578.10 = 7,041.60/x
  3. Step 3: Cross multiply
    16,394.40x = 24,578.10 × 7,041.60
  4. Step 4: Simplify right side
    16,394.40x = 173,069,148.96
  5. Step 5: Solve for x
    x = 173,069,148.96/16,394.40
  6. Step 6: Final answer
    x = 10,556.60

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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.