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Finding the Fourth Proportional to 16,123.29, 22,254.79 and 9,749.89

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Solution

The fourth proportional to 16,123.29, 22,254.79 and 9,749.89 is: 13,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.29 : 22,254.79 = 9,749.89 : x
  2. Step 2: Convert to fraction form
    16,123.29/22,254.79 = 9,749.89/x
  3. Step 3: Cross multiply
    16,123.29x = 22,254.79 × 9,749.89
  4. Step 4: Simplify right side
    16,123.29x = 216,981,754.47
  5. Step 5: Solve for x
    x = 216,981,754.47/16,123.29
  6. Step 6: Final answer
    x = 13,457.66

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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.