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Finding the Fourth Proportional to 16,275.70, 22,457.68 and 9,201.97

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Solution

The fourth proportional to 16,275.70, 22,457.68 and 9,201.97 is: 12,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.70 : 22,457.68 = 9,201.97 : x
  2. Step 2: Convert to fraction form
    16,275.70/22,457.68 = 9,201.97/x
  3. Step 3: Cross multiply
    16,275.70x = 22,457.68 × 9,201.97
  4. Step 4: Simplify right side
    16,275.70x = 206,654,897.63
  5. Step 5: Solve for x
    x = 206,654,897.63/16,275.70
  6. Step 6: Final answer
    x = 12,697.14

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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.