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Finding the Fourth Proportional to 22,527, 31,086.54 and 12,454.68

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Solution

The fourth proportional to 22,527, 31,086.54 and 12,454.68 is: 17,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527 : 31,086.54 = 12,454.68 : x
  2. Step 2: Convert to fraction form
    22,527/31,086.54 = 12,454.68/x
  3. Step 3: Cross multiply
    22,527x = 31,086.54 × 12,454.68
  4. Step 4: Simplify right side
    22,527x = 387,172,908.01
  5. Step 5: Solve for x
    x = 387,172,908.01/22,527
  6. Step 6: Final answer
    x = 17,187.06

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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.