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Finding the Fourth Proportional to 17,752.96, 24,500.32 and 10,200.52

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Solution

The fourth proportional to 17,752.96, 24,500.32 and 10,200.52 is: 14,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.96 : 24,500.32 = 10,200.52 : x
  2. Step 2: Convert to fraction form
    17,752.96/24,500.32 = 10,200.52/x
  3. Step 3: Cross multiply
    17,752.96x = 24,500.32 × 10,200.52
  4. Step 4: Simplify right side
    17,752.96x = 249,916,004.17
  5. Step 5: Solve for x
    x = 249,916,004.17/17,752.96
  6. Step 6: Final answer
    x = 14,077.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.