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Finding the Fourth Proportional to 25,657.34, 38,434.37 and 12,311.87

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Solution

The fourth proportional to 25,657.34, 38,434.37 and 12,311.87 is: 18,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,657.34 : 38,434.37 = 12,311.87 : x
  2. Step 2: Convert to fraction form
    25,657.34/38,434.37 = 12,311.87/x
  3. Step 3: Cross multiply
    25,657.34x = 38,434.37 × 12,311.87
  4. Step 4: Simplify right side
    25,657.34x = 473,198,713.24
  5. Step 5: Solve for x
    x = 473,198,713.24/25,657.34
  6. Step 6: Final answer
    x = 18,443.02

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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.