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Finding the Fourth Proportional to 15,853.44, 21,877.92 and 8,780

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Solution

The fourth proportional to 15,853.44, 21,877.92 and 8,780 is: 12,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.44 : 21,877.92 = 8,780 : x
  2. Step 2: Convert to fraction form
    15,853.44/21,877.92 = 8,780/x
  3. Step 3: Cross multiply
    15,853.44x = 21,877.92 × 8,780
  4. Step 4: Simplify right side
    15,853.44x = 192,088,137.60
  5. Step 5: Solve for x
    x = 192,088,137.60/15,853.44
  6. Step 6: Final answer
    x = 12,116.50

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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.