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Finding the Fourth Proportional to 15,854.14, 21,878.68 and 8,781

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Solution

The fourth proportional to 15,854.14, 21,878.68 and 8,781 is: 12,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.14 : 21,878.68 = 8,781 : x
  2. Step 2: Convert to fraction form
    15,854.14/21,878.68 = 8,781/x
  3. Step 3: Cross multiply
    15,854.14x = 21,878.68 × 8,781
  4. Step 4: Simplify right side
    15,854.14x = 192,116,689.08
  5. Step 5: Solve for x
    x = 192,116,689.08/15,854.14
  6. Step 6: Final answer
    x = 12,117.76

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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.