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Finding the Fourth Proportional to 25,475.60, 38,178.84 and 14,376.80

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Solution

The fourth proportional to 25,475.60, 38,178.84 and 14,376.80 is: 21,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,475.60 : 38,178.84 = 14,376.80 : x
  2. Step 2: Convert to fraction form
    25,475.60/38,178.84 = 14,376.80/x
  3. Step 3: Cross multiply
    25,475.60x = 38,178.84 × 14,376.80
  4. Step 4: Simplify right side
    25,475.60x = 548,889,546.91
  5. Step 5: Solve for x
    x = 548,889,546.91/25,475.60
  6. Step 6: Final answer
    x = 21,545.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.