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Finding the Fourth Proportional to 22,683.25, 31,302.89 and 13,251.88

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Solution

The fourth proportional to 22,683.25, 31,302.89 and 13,251.88 is: 18,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.25 : 31,302.89 = 13,251.88 : x
  2. Step 2: Convert to fraction form
    22,683.25/31,302.89 = 13,251.88/x
  3. Step 3: Cross multiply
    22,683.25x = 31,302.89 × 13,251.88
  4. Step 4: Simplify right side
    22,683.25x = 414,822,141.93
  5. Step 5: Solve for x
    x = 414,822,141.93/22,683.25
  6. Step 6: Final answer
    x = 18,287.60

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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.