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Finding the Fourth Proportional to 24,186.84, 33,376.10 and 13,578.04

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Solution

The fourth proportional to 24,186.84, 33,376.10 and 13,578.04 is: 18,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.84 : 33,376.10 = 13,578.04 : x
  2. Step 2: Convert to fraction form
    24,186.84/33,376.10 = 13,578.04/x
  3. Step 3: Cross multiply
    24,186.84x = 33,376.10 × 13,578.04
  4. Step 4: Simplify right side
    24,186.84x = 453,182,020.84
  5. Step 5: Solve for x
    x = 453,182,020.84/24,186.84
  6. Step 6: Final answer
    x = 18,736.72

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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.