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Finding the Fourth Proportional to 15,853.12, 21,877.80 and 8,780.20

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Solution

The fourth proportional to 15,853.12, 21,877.80 and 8,780.20 is: 12,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.12 : 21,877.80 = 8,780.20 : x
  2. Step 2: Convert to fraction form
    15,853.12/21,877.80 = 8,780.20/x
  3. Step 3: Cross multiply
    15,853.12x = 21,877.80 × 8,780.20
  4. Step 4: Simplify right side
    15,853.12x = 192,091,371.94
  5. Step 5: Solve for x
    x = 192,091,371.94/15,853.12
  6. Step 6: Final answer
    x = 12,116.95

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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.