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Finding the Fourth Proportional to 22,686.57, 31,307.49 and 12,614.91

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Solution

The fourth proportional to 22,686.57, 31,307.49 and 12,614.91 is: 17,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.57 : 31,307.49 = 12,614.91 : x
  2. Step 2: Convert to fraction form
    22,686.57/31,307.49 = 12,614.91/x
  3. Step 3: Cross multiply
    22,686.57x = 31,307.49 × 12,614.91
  4. Step 4: Simplify right side
    22,686.57x = 394,941,168.68
  5. Step 5: Solve for x
    x = 394,941,168.68/22,686.57
  6. Step 6: Final answer
    x = 17,408.59

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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.