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Finding the Fourth Proportional to 15,097.30, 22,616.49 and 9,887.38

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Solution

The fourth proportional to 15,097.30, 22,616.49 and 9,887.38 is: 14,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.30 : 22,616.49 = 9,887.38 : x
  2. Step 2: Convert to fraction form
    15,097.30/22,616.49 = 9,887.38/x
  3. Step 3: Cross multiply
    15,097.30x = 22,616.49 × 9,887.38
  4. Step 4: Simplify right side
    15,097.30x = 223,617,830.90
  5. Step 5: Solve for x
    x = 223,617,830.90/15,097.30
  6. Step 6: Final answer
    x = 14,811.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.