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Finding the Fourth Proportional to 15,853.50, 23,773.14 and 8,456.22

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Solution

The fourth proportional to 15,853.50, 23,773.14 and 8,456.22 is: 12,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.50 : 23,773.14 = 8,456.22 : x
  2. Step 2: Convert to fraction form
    15,853.50/23,773.14 = 8,456.22/x
  3. Step 3: Cross multiply
    15,853.50x = 23,773.14 × 8,456.22
  4. Step 4: Simplify right side
    15,853.50x = 201,030,901.93
  5. Step 5: Solve for x
    x = 201,030,901.93/15,853.50
  6. Step 6: Final answer
    x = 12,680.54

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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.