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Finding the Fourth Proportional to 24,271.65, 36,410.31 and 8,471.79

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Solution

The fourth proportional to 24,271.65, 36,410.31 and 8,471.79 is: 12,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.65 : 36,410.31 = 8,471.79 : x
  2. Step 2: Convert to fraction form
    24,271.65/36,410.31 = 8,471.79/x
  3. Step 3: Cross multiply
    24,271.65x = 36,410.31 × 8,471.79
  4. Step 4: Simplify right side
    24,271.65x = 308,460,500.15
  5. Step 5: Solve for x
    x = 308,460,500.15/24,271.65
  6. Step 6: Final answer
    x = 12,708.67

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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.