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Finding the Fourth Proportional to 16,013.17, 22,098.04 and 9,299.08

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Solution

The fourth proportional to 16,013.17, 22,098.04 and 9,299.08 is: 12,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.17 : 22,098.04 = 9,299.08 : x
  2. Step 2: Convert to fraction form
    16,013.17/22,098.04 = 9,299.08/x
  3. Step 3: Cross multiply
    16,013.17x = 22,098.04 × 9,299.08
  4. Step 4: Simplify right side
    16,013.17x = 205,491,410.18
  5. Step 5: Solve for x
    x = 205,491,410.18/16,013.17
  6. Step 6: Final answer
    x = 12,832.65

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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.