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Finding the Fourth Proportional to 15,463.17, 23,194.76 and 8,581.41

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Solution

The fourth proportional to 15,463.17, 23,194.76 and 8,581.41 is: 12,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463.17 : 23,194.76 = 8,581.41 : x
  2. Step 2: Convert to fraction form
    15,463.17/23,194.76 = 8,581.41/x
  3. Step 3: Cross multiply
    15,463.17x = 23,194.76 × 8,581.41
  4. Step 4: Simplify right side
    15,463.17x = 199,043,702.50
  5. Step 5: Solve for x
    x = 199,043,702.50/15,463.17
  6. Step 6: Final answer
    x = 12,872.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.