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Finding the Fourth Proportional to 24,221.84, 33,429.11 and 13,613.40

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Solution

The fourth proportional to 24,221.84, 33,429.11 and 13,613.40 is: 18,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.84 : 33,429.11 = 13,613.40 : x
  2. Step 2: Convert to fraction form
    24,221.84/33,429.11 = 13,613.40/x
  3. Step 3: Cross multiply
    24,221.84x = 33,429.11 × 13,613.40
  4. Step 4: Simplify right side
    24,221.84x = 455,083,778.01
  5. Step 5: Solve for x
    x = 455,083,778.01/24,221.84
  6. Step 6: Final answer
    x = 18,788.16

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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.