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Finding the Fourth Proportional to 24,417.74, 36,561 and 20,087.48

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Solution

The fourth proportional to 24,417.74, 36,561 and 20,087.48 is: 30,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.74 : 36,561 = 20,087.48 : x
  2. Step 2: Convert to fraction form
    24,417.74/36,561 = 20,087.48/x
  3. Step 3: Cross multiply
    24,417.74x = 36,561 × 20,087.48
  4. Step 4: Simplify right side
    24,417.74x = 734,418,356.28
  5. Step 5: Solve for x
    x = 734,418,356.28/24,417.74
  6. Step 6: Final answer
    x = 30,077.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.