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Finding the Fourth Proportional to 17,753.62, 24,500.00 and 10,200.66

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Solution

The fourth proportional to 17,753.62, 24,500.00 and 10,200.66 is: 14,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.62 : 24,500.00 = 10,200.66 : x
  2. Step 2: Convert to fraction form
    17,753.62/24,500.00 = 10,200.66/x
  3. Step 3: Cross multiply
    17,753.62x = 24,500.00 × 10,200.66
  4. Step 4: Simplify right side
    17,753.62x = 249,916,108.62
  5. Step 5: Solve for x
    x = 249,916,108.62/17,753.62
  6. Step 6: Final answer
    x = 14,076.91

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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.