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Finding the Fourth Proportional to 24,328.70, 36,471.09 and 8,742.68

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Solution

The fourth proportional to 24,328.70, 36,471.09 and 8,742.68 is: 13,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328.70 : 36,471.09 = 8,742.68 : x
  2. Step 2: Convert to fraction form
    24,328.70/36,471.09 = 8,742.68/x
  3. Step 3: Cross multiply
    24,328.70x = 36,471.09 × 8,742.68
  4. Step 4: Simplify right side
    24,328.70x = 318,854,886.77
  5. Step 5: Solve for x
    x = 318,854,886.77/24,328.70
  6. Step 6: Final answer
    x = 13,106.12

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1.5x scale

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.