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Finding the Fourth Proportional to 25,877.34, 38,820.96 and 8,342.46

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Solution

The fourth proportional to 25,877.34, 38,820.96 and 8,342.46 is: 12,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.34 : 38,820.96 = 8,342.46 : x
  2. Step 2: Convert to fraction form
    25,877.34/38,820.96 = 8,342.46/x
  3. Step 3: Cross multiply
    25,877.34x = 38,820.96 × 8,342.46
  4. Step 4: Simplify right side
    25,877.34x = 323,862,305.96
  5. Step 5: Solve for x
    x = 323,862,305.96/25,877.34
  6. Step 6: Final answer
    x = 12,515.29

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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.