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Finding the Fourth Proportional to 16,562.69, 22,857.09 and 9,490.48

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Solution

The fourth proportional to 16,562.69, 22,857.09 and 9,490.48 is: 13,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.69 : 22,857.09 = 9,490.48 : x
  2. Step 2: Convert to fraction form
    16,562.69/22,857.09 = 9,490.48/x
  3. Step 3: Cross multiply
    16,562.69x = 22,857.09 × 9,490.48
  4. Step 4: Simplify right side
    16,562.69x = 216,924,755.50
  5. Step 5: Solve for x
    x = 216,924,755.50/16,562.69
  6. Step 6: Final answer
    x = 13,097.19

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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.