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Finding the Fourth Proportional to 24,471.57, 36,712.08 and 10,431.36

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Solution

The fourth proportional to 24,471.57, 36,712.08 and 10,431.36 is: 15,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.57 : 36,712.08 = 10,431.36 : x
  2. Step 2: Convert to fraction form
    24,471.57/36,712.08 = 10,431.36/x
  3. Step 3: Cross multiply
    24,471.57x = 36,712.08 × 10,431.36
  4. Step 4: Simplify right side
    24,471.57x = 382,956,922.83
  5. Step 5: Solve for x
    x = 382,956,922.83/24,471.57
  6. Step 6: Final answer
    x = 15,649.05

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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.