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Finding the Fourth Proportional to 25,657.70, 38,490.15 and 8,125.70

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Solution

The fourth proportional to 25,657.70, 38,490.15 and 8,125.70 is: 12,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.70 : 38,490.15 = 8,125.70 : x
  2. Step 2: Convert to fraction form
    25,657.70/38,490.15 = 8,125.70/x
  3. Step 3: Cross multiply
    25,657.70x = 38,490.15 × 8,125.70
  4. Step 4: Simplify right side
    25,657.70x = 312,759,411.86
  5. Step 5: Solve for x
    x = 312,759,411.86/25,657.70
  6. Step 6: Final answer
    x = 12,189.69

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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.