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Finding the Fourth Proportional to 25,167.68, 34,729.32 and 14,558

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Solution

The fourth proportional to 25,167.68, 34,729.32 and 14,558 is: 20,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,167.68 : 34,729.32 = 14,558 : x
  2. Step 2: Convert to fraction form
    25,167.68/34,729.32 = 14,558/x
  3. Step 3: Cross multiply
    25,167.68x = 34,729.32 × 14,558
  4. Step 4: Simplify right side
    25,167.68x = 505,589,440.56
  5. Step 5: Solve for x
    x = 505,589,440.56/25,167.68
  6. Step 6: Final answer
    x = 20,088.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.