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Finding the Fourth Proportional to 25,200.64, 34,769.82 and 14,589.64

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Solution

The fourth proportional to 25,200.64, 34,769.82 and 14,589.64 is: 20,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.64 : 34,769.82 = 14,589.64 : x
  2. Step 2: Convert to fraction form
    25,200.64/34,769.82 = 14,589.64/x
  3. Step 3: Cross multiply
    25,200.64x = 34,769.82 × 14,589.64
  4. Step 4: Simplify right side
    25,200.64x = 507,279,156.66
  5. Step 5: Solve for x
    x = 507,279,156.66/25,200.64
  6. Step 6: Final answer
    x = 20,129.61

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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.