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Finding the Fourth Proportional to 24,471.53, 36,705.80 and 8,677.34

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Solution

The fourth proportional to 24,471.53, 36,705.80 and 8,677.34 is: 13,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.53 : 36,705.80 = 8,677.34 : x
  2. Step 2: Convert to fraction form
    24,471.53/36,705.80 = 8,677.34/x
  3. Step 3: Cross multiply
    24,471.53x = 36,705.80 × 8,677.34
  4. Step 4: Simplify right side
    24,471.53x = 318,508,544.74
  5. Step 5: Solve for x
    x = 318,508,544.74/24,471.53
  6. Step 6: Final answer
    x = 13,015.48

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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.