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Finding the Fourth Proportional to 22,965.89, 34,455.31 and 9,124.61

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Solution

The fourth proportional to 22,965.89, 34,455.31 and 9,124.61 is: 13,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.89 : 34,455.31 = 9,124.61 : x
  2. Step 2: Convert to fraction form
    22,965.89/34,455.31 = 9,124.61/x
  3. Step 3: Cross multiply
    22,965.89x = 34,455.31 × 9,124.61
  4. Step 4: Simplify right side
    22,965.89x = 314,391,071.09
  5. Step 5: Solve for x
    x = 314,391,071.09/22,965.89
  6. Step 6: Final answer
    x = 13,689.48

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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.