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Finding the Fourth Proportional to 24,100.86, 36,156.17 and 8,529.42

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Solution

The fourth proportional to 24,100.86, 36,156.17 and 8,529.42 is: 12,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.86 : 36,156.17 = 8,529.42 : x
  2. Step 2: Convert to fraction form
    24,100.86/36,156.17 = 8,529.42/x
  3. Step 3: Cross multiply
    24,100.86x = 36,156.17 × 8,529.42
  4. Step 4: Simplify right side
    24,100.86x = 308,390,936.09
  5. Step 5: Solve for x
    x = 308,390,936.09/24,100.86
  6. Step 6: Final answer
    x = 12,795.85

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