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Finding the Fourth Proportional to 22,594.53, 31,180.71 and 12,523.17

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Solution

The fourth proportional to 22,594.53, 31,180.71 and 12,523.17 is: 17,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.53 : 31,180.71 = 12,523.17 : x
  2. Step 2: Convert to fraction form
    22,594.53/31,180.71 = 12,523.17/x
  3. Step 3: Cross multiply
    22,594.53x = 31,180.71 × 12,523.17
  4. Step 4: Simplify right side
    22,594.53x = 390,481,332.05
  5. Step 5: Solve for x
    x = 390,481,332.05/22,594.53
  6. Step 6: Final answer
    x = 17,282.12

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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.