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Finding the Fourth Proportional to 25,665.52, 38,498.52 and 8,134

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Solution

The fourth proportional to 25,665.52, 38,498.52 and 8,134 is: 12,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.52 : 38,498.52 = 8,134 : x
  2. Step 2: Convert to fraction form
    25,665.52/38,498.52 = 8,134/x
  3. Step 3: Cross multiply
    25,665.52x = 38,498.52 × 8,134
  4. Step 4: Simplify right side
    25,665.52x = 313,146,961.68
  5. Step 5: Solve for x
    x = 313,146,961.68/25,665.52
  6. Step 6: Final answer
    x = 12,201.08

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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.