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Finding the Fourth Proportional to 15,509.10, 21,409.98 and 9,545.88

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Solution

The fourth proportional to 15,509.10, 21,409.98 and 9,545.88 is: 13,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.10 : 21,409.98 = 9,545.88 : x
  2. Step 2: Convert to fraction form
    15,509.10/21,409.98 = 9,545.88/x
  3. Step 3: Cross multiply
    15,509.10x = 21,409.98 × 9,545.88
  4. Step 4: Simplify right side
    15,509.10x = 204,377,099.88
  5. Step 5: Solve for x
    x = 204,377,099.88/15,509.10
  6. Step 6: Final answer
    x = 13,177.88

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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.