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Finding the Fourth Proportional to 15,494.75, 21,382.35 and 8,780.21

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Solution

The fourth proportional to 15,494.75, 21,382.35 and 8,780.21 is: 12,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.75 : 21,382.35 = 8,780.21 : x
  2. Step 2: Convert to fraction form
    15,494.75/21,382.35 = 8,780.21/x
  3. Step 3: Cross multiply
    15,494.75x = 21,382.35 × 8,780.21
  4. Step 4: Simplify right side
    15,494.75x = 187,741,479.39
  5. Step 5: Solve for x
    x = 187,741,479.39/15,494.75
  6. Step 6: Final answer
    x = 12,116.46

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Why These Related Problems?

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