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Finding the Fourth Proportional to 25,678.08, 38,520.96 and 8,148.48

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Solution

The fourth proportional to 25,678.08, 38,520.96 and 8,148.48 is: 12,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.08 : 38,520.96 = 8,148.48 : x
  2. Step 2: Convert to fraction form
    25,678.08/38,520.96 = 8,148.48/x
  3. Step 3: Cross multiply
    25,678.08x = 38,520.96 × 8,148.48
  4. Step 4: Simplify right side
    25,678.08x = 313,887,272.14
  5. Step 5: Solve for x
    x = 313,887,272.14/25,678.08
  6. Step 6: Final answer
    x = 12,223.94

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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.