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Finding the Fourth Proportional to 22,522, 31,081.32 and 12,586

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Solution

The fourth proportional to 22,522, 31,081.32 and 12,586 is: 17,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522 : 31,081.32 = 12,586 : x
  2. Step 2: Convert to fraction form
    22,522/31,081.32 = 12,586/x
  3. Step 3: Cross multiply
    22,522x = 31,081.32 × 12,586
  4. Step 4: Simplify right side
    22,522x = 391,189,493.52
  5. Step 5: Solve for x
    x = 391,189,493.52/22,522
  6. Step 6: Final answer
    x = 17,369.22

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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.