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Finding the Fourth Proportional to 16,186.68, 22,337.56 and 9,113.12

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Solution

The fourth proportional to 16,186.68, 22,337.56 and 9,113.12 is: 12,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.68 : 22,337.56 = 9,113.12 : x
  2. Step 2: Convert to fraction form
    16,186.68/22,337.56 = 9,113.12/x
  3. Step 3: Cross multiply
    16,186.68x = 22,337.56 × 9,113.12
  4. Step 4: Simplify right side
    16,186.68x = 203,564,864.79
  5. Step 5: Solve for x
    x = 203,564,864.79/16,186.68
  6. Step 6: Final answer
    x = 12,576.07

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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.