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Finding the Fourth Proportional to 25,881.30, 38,798.19 and 8,342.10

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Solution

The fourth proportional to 25,881.30, 38,798.19 and 8,342.10 is: 12,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.30 : 38,798.19 = 8,342.10 : x
  2. Step 2: Convert to fraction form
    25,881.30/38,798.19 = 8,342.10/x
  3. Step 3: Cross multiply
    25,881.30x = 38,798.19 × 8,342.10
  4. Step 4: Simplify right side
    25,881.30x = 323,658,380.80
  5. Step 5: Solve for x
    x = 323,658,380.80/25,881.30
  6. Step 6: Final answer
    x = 12,505.49

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Why These Related Problems?

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