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Finding the Fourth Proportional to 12,780.35, 17,641.69 and 7,476.87

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Solution

The fourth proportional to 12,780.35, 17,641.69 and 7,476.87 is: 10,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.35 : 17,641.69 = 7,476.87 : x
  2. Step 2: Convert to fraction form
    12,780.35/17,641.69 = 7,476.87/x
  3. Step 3: Cross multiply
    12,780.35x = 17,641.69 × 7,476.87
  4. Step 4: Simplify right side
    12,780.35x = 131,904,604.02
  5. Step 5: Solve for x
    x = 131,904,604.02/12,780.35
  6. Step 6: Final answer
    x = 10,320.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.