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Finding the Fourth Proportional to 25,785.50, 38,681.94 and 9,780.92

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Solution

The fourth proportional to 25,785.50, 38,681.94 and 9,780.92 is: 14,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.50 : 38,681.94 = 9,780.92 : x
  2. Step 2: Convert to fraction form
    25,785.50/38,681.94 = 9,780.92/x
  3. Step 3: Cross multiply
    25,785.50x = 38,681.94 × 9,780.92
  4. Step 4: Simplify right side
    25,785.50x = 378,344,767.18
  5. Step 5: Solve for x
    x = 378,344,767.18/25,785.50
  6. Step 6: Final answer
    x = 14,672.78

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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.