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Finding the Fourth Proportional to 16,357.04, 24,498.65 and 7,573.50

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Solution

The fourth proportional to 16,357.04, 24,498.65 and 7,573.50 is: 11,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.04 : 24,498.65 = 7,573.50 : x
  2. Step 2: Convert to fraction form
    16,357.04/24,498.65 = 7,573.50/x
  3. Step 3: Cross multiply
    16,357.04x = 24,498.65 × 7,573.50
  4. Step 4: Simplify right side
    16,357.04x = 185,540,544.71
  5. Step 5: Solve for x
    x = 185,540,544.71/16,357.04
  6. Step 6: Final answer
    x = 11,343.16

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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.