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Finding the Fourth Proportional to 24,773.80, 34,187.67 and 13,443.00

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Solution

The fourth proportional to 24,773.80, 34,187.67 and 13,443.00 is: 18,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,773.80 : 34,187.67 = 13,443.00 : x
  2. Step 2: Convert to fraction form
    24,773.80/34,187.67 = 13,443.00/x
  3. Step 3: Cross multiply
    24,773.80x = 34,187.67 × 13,443.00
  4. Step 4: Simplify right side
    24,773.80x = 459,584,965.53
  5. Step 5: Solve for x
    x = 459,584,965.53/24,773.80
  6. Step 6: Final answer
    x = 18,551.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.