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Finding the Fourth Proportional to 12,856.98, 17,740.80 and 7,479.24

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Solution

The fourth proportional to 12,856.98, 17,740.80 and 7,479.24 is: 10,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.98 : 17,740.80 = 7,479.24 : x
  2. Step 2: Convert to fraction form
    12,856.98/17,740.80 = 7,479.24/x
  3. Step 3: Cross multiply
    12,856.98x = 17,740.80 × 7,479.24
  4. Step 4: Simplify right side
    12,856.98x = 132,687,700.99
  5. Step 5: Solve for x
    x = 132,687,700.99/12,856.98
  6. Step 6: Final answer
    x = 10,320.29

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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.