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Finding the Fourth Proportional to 22,861.24, 34,294.14 and 9,007

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Solution

The fourth proportional to 22,861.24, 34,294.14 and 9,007 is: 13,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.24 : 34,294.14 = 9,007 : x
  2. Step 2: Convert to fraction form
    22,861.24/34,294.14 = 9,007/x
  3. Step 3: Cross multiply
    22,861.24x = 34,294.14 × 9,007
  4. Step 4: Simplify right side
    22,861.24x = 308,887,318.98
  5. Step 5: Solve for x
    x = 308,887,318.98/22,861.24
  6. Step 6: Final answer
    x = 13,511.40

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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.