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Finding the Fourth Proportional to 25,433.68, 35,098.32 and 14,255.68

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Solution

The fourth proportional to 25,433.68, 35,098.32 and 14,255.68 is: 19,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,433.68 : 35,098.32 = 14,255.68 : x
  2. Step 2: Convert to fraction form
    25,433.68/35,098.32 = 14,255.68/x
  3. Step 3: Cross multiply
    25,433.68x = 35,098.32 × 14,255.68
  4. Step 4: Simplify right side
    25,433.68x = 500,350,418.46
  5. Step 5: Solve for x
    x = 500,350,418.46/25,433.68
  6. Step 6: Final answer
    x = 19,672.75

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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.