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Finding the Fourth Proportional to 24,071.74, 33,229.12 and 14,643.58

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Solution

The fourth proportional to 24,071.74, 33,229.12 and 14,643.58 is: 20,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.74 : 33,229.12 = 14,643.58 : x
  2. Step 2: Convert to fraction form
    24,071.74/33,229.12 = 14,643.58/x
  3. Step 3: Cross multiply
    24,071.74x = 33,229.12 × 14,643.58
  4. Step 4: Simplify right side
    24,071.74x = 486,593,277.05
  5. Step 5: Solve for x
    x = 486,593,277.05/24,071.74
  6. Step 6: Final answer
    x = 20,214.30

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