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Finding the Fourth Proportional to 25,979.84, 38,965.92 and 9,560

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Solution

The fourth proportional to 25,979.84, 38,965.92 and 9,560 is: 14,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,979.84 : 38,965.92 = 9,560 : x
  2. Step 2: Convert to fraction form
    25,979.84/38,965.92 = 9,560/x
  3. Step 3: Cross multiply
    25,979.84x = 38,965.92 × 9,560
  4. Step 4: Simplify right side
    25,979.84x = 372,514,195.20
  5. Step 5: Solve for x
    x = 372,514,195.20/25,979.84
  6. Step 6: Final answer
    x = 14,338.59

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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.