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Finding the Fourth Proportional to 24,581.84, 33,922.86 and 13,403.84

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Solution

The fourth proportional to 24,581.84, 33,922.86 and 13,403.84 is: 18,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.84 : 33,922.86 = 13,403.84 : x
  2. Step 2: Convert to fraction form
    24,581.84/33,922.86 = 13,403.84/x
  3. Step 3: Cross multiply
    24,581.84x = 33,922.86 × 13,403.84
  4. Step 4: Simplify right side
    24,581.84x = 454,696,587.78
  5. Step 5: Solve for x
    x = 454,696,587.78/24,581.84
  6. Step 6: Final answer
    x = 18,497.26

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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.