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Finding the Fourth Proportional to 22,657.59, 31,268.13 and 13,706.73

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Solution

The fourth proportional to 22,657.59, 31,268.13 and 13,706.73 is: 18,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.59 : 31,268.13 = 13,706.73 : x
  2. Step 2: Convert to fraction form
    22,657.59/31,268.13 = 13,706.73/x
  3. Step 3: Cross multiply
    22,657.59x = 31,268.13 × 13,706.73
  4. Step 4: Simplify right side
    22,657.59x = 428,583,815.51
  5. Step 5: Solve for x
    x = 428,583,815.51/22,657.59
  6. Step 6: Final answer
    x = 18,915.68

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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.