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Finding the Fourth Proportional to 24,471.67, 36,704.37 and 7,830.31

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Solution

The fourth proportional to 24,471.67, 36,704.37 and 7,830.31 is: 11,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.67 : 36,704.37 = 7,830.31 : x
  2. Step 2: Convert to fraction form
    24,471.67/36,704.37 = 7,830.31/x
  3. Step 3: Cross multiply
    24,471.67x = 36,704.37 × 7,830.31
  4. Step 4: Simplify right side
    24,471.67x = 287,406,503.69
  5. Step 5: Solve for x
    x = 287,406,503.69/24,471.67
  6. Step 6: Final answer
    x = 11,744.46

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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.