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Finding the Fourth Proportional to 15,237.88, 22,865.55 and 8,217.86

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Solution

The fourth proportional to 15,237.88, 22,865.55 and 8,217.86 is: 12,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237.88 : 22,865.55 = 8,217.86 : x
  2. Step 2: Convert to fraction form
    15,237.88/22,865.55 = 8,217.86/x
  3. Step 3: Cross multiply
    15,237.88x = 22,865.55 × 8,217.86
  4. Step 4: Simplify right side
    15,237.88x = 187,905,888.72
  5. Step 5: Solve for x
    x = 187,905,888.72/15,237.88
  6. Step 6: Final answer
    x = 12,331.50

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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.