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Finding the Fourth Proportional to 22,685.67, 31,307.40 and 12,614.31

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Solution

The fourth proportional to 22,685.67, 31,307.40 and 12,614.31 is: 17,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.67 : 31,307.40 = 12,614.31 : x
  2. Step 2: Convert to fraction form
    22,685.67/31,307.40 = 12,614.31/x
  3. Step 3: Cross multiply
    22,685.67x = 31,307.40 × 12,614.31
  4. Step 4: Simplify right side
    22,685.67x = 394,921,248.89
  5. Step 5: Solve for x
    x = 394,921,248.89/22,685.67
  6. Step 6: Final answer
    x = 17,408.40

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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.