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Finding the Fourth Proportional to 25,614.92, 35,344.05 and 14,283.52

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Solution

The fourth proportional to 25,614.92, 35,344.05 and 14,283.52 is: 19,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.92 : 35,344.05 = 14,283.52 : x
  2. Step 2: Convert to fraction form
    25,614.92/35,344.05 = 14,283.52/x
  3. Step 3: Cross multiply
    25,614.92x = 35,344.05 × 14,283.52
  4. Step 4: Simplify right side
    25,614.92x = 504,837,445.06
  5. Step 5: Solve for x
    x = 504,837,445.06/25,614.92
  6. Step 6: Final answer
    x = 19,708.73

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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.