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Finding the Fourth Proportional to 24,327.80, 36,464.70 and 9,531.80

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Solution

The fourth proportional to 24,327.80, 36,464.70 and 9,531.80 is: 14,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.80 : 36,464.70 = 9,531.80 : x
  2. Step 2: Convert to fraction form
    24,327.80/36,464.70 = 9,531.80/x
  3. Step 3: Cross multiply
    24,327.80x = 36,464.70 × 9,531.80
  4. Step 4: Simplify right side
    24,327.80x = 347,574,227.46
  5. Step 5: Solve for x
    x = 347,574,227.46/24,327.80
  6. Step 6: Final answer
    x = 14,287.12

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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.