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Finding the Fourth Proportional to 22,684.62, 31,306.19 and 12,615.31

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Solution

The fourth proportional to 22,684.62, 31,306.19 and 12,615.31 is: 17,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.62 : 31,306.19 = 12,615.31 : x
  2. Step 2: Convert to fraction form
    22,684.62/31,306.19 = 12,615.31/x
  3. Step 3: Cross multiply
    22,684.62x = 31,306.19 × 12,615.31
  4. Step 4: Simplify right side
    22,684.62x = 394,937,291.77
  5. Step 5: Solve for x
    x = 394,937,291.77/22,684.62
  6. Step 6: Final answer
    x = 17,409.91

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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.