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Finding the Fourth Proportional to 22,725.87, 31,365.52 and 14,657.25

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Solution

The fourth proportional to 22,725.87, 31,365.52 and 14,657.25 is: 20,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725.87 : 31,365.52 = 14,657.25 : x
  2. Step 2: Convert to fraction form
    22,725.87/31,365.52 = 14,657.25/x
  3. Step 3: Cross multiply
    22,725.87x = 31,365.52 × 14,657.25
  4. Step 4: Simplify right side
    22,725.87x = 459,732,268.02
  5. Step 5: Solve for x
    x = 459,732,268.02/22,725.87
  6. Step 6: Final answer
    x = 20,229.47

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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.