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Finding the Fourth Proportional to 22,546.61, 31,114.17 and 12,474.86

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Solution

The fourth proportional to 22,546.61, 31,114.17 and 12,474.86 is: 17,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.61 : 31,114.17 = 12,474.86 : x
  2. Step 2: Convert to fraction form
    22,546.61/31,114.17 = 12,474.86/x
  3. Step 3: Cross multiply
    22,546.61x = 31,114.17 × 12,474.86
  4. Step 4: Simplify right side
    22,546.61x = 388,144,992.55
  5. Step 5: Solve for x
    x = 388,144,992.55/22,546.61
  6. Step 6: Final answer
    x = 17,215.23

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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.