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Finding the Fourth Proportional to 25,915.50, 35,766.54 and 14,589.24

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Solution

The fourth proportional to 25,915.50, 35,766.54 and 14,589.24 is: 20,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.50 : 35,766.54 = 14,589.24 : x
  2. Step 2: Convert to fraction form
    25,915.50/35,766.54 = 14,589.24/x
  3. Step 3: Cross multiply
    25,915.50x = 35,766.54 × 14,589.24
  4. Step 4: Simplify right side
    25,915.50x = 521,806,636.03
  5. Step 5: Solve for x
    x = 521,806,636.03/25,915.50
  6. Step 6: Final answer
    x = 20,134.92

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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.