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Finding the Fourth Proportional to 24,152.56, 36,233.10 and 8,570.20

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Solution

The fourth proportional to 24,152.56, 36,233.10 and 8,570.20 is: 12,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,152.56 : 36,233.10 = 8,570.20 : x
  2. Step 2: Convert to fraction form
    24,152.56/36,233.10 = 8,570.20/x
  3. Step 3: Cross multiply
    24,152.56x = 36,233.10 × 8,570.20
  4. Step 4: Simplify right side
    24,152.56x = 310,524,913.62
  5. Step 5: Solve for x
    x = 310,524,913.62/24,152.56
  6. Step 6: Final answer
    x = 12,856.81

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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.