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Finding the Fourth Proportional to 25,508.64, 38,265.88 and 6,789.48

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Solution

The fourth proportional to 25,508.64, 38,265.88 and 6,789.48 is: 10,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.64 : 38,265.88 = 6,789.48 : x
  2. Step 2: Convert to fraction form
    25,508.64/38,265.88 = 6,789.48/x
  3. Step 3: Cross multiply
    25,508.64x = 38,265.88 × 6,789.48
  4. Step 4: Simplify right side
    25,508.64x = 259,805,426.94
  5. Step 5: Solve for x
    x = 259,805,426.94/25,508.64
  6. Step 6: Final answer
    x = 10,185.00

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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.