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Finding the Fourth Proportional to 24,076.86, 36,102.06 and 7,432.38

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Solution

The fourth proportional to 24,076.86, 36,102.06 and 7,432.38 is: 11,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.86 : 36,102.06 = 7,432.38 : x
  2. Step 2: Convert to fraction form
    24,076.86/36,102.06 = 7,432.38/x
  3. Step 3: Cross multiply
    24,076.86x = 36,102.06 × 7,432.38
  4. Step 4: Simplify right side
    24,076.86x = 268,324,228.70
  5. Step 5: Solve for x
    x = 268,324,228.70/24,076.86
  6. Step 6: Final answer
    x = 11,144.49

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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.