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Finding the Fourth Proportional to 24,197.34, 33,382.80 and 13,981.62

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Solution

The fourth proportional to 24,197.34, 33,382.80 and 13,981.62 is: 19,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.34 : 33,382.80 = 13,981.62 : x
  2. Step 2: Convert to fraction form
    24,197.34/33,382.80 = 13,981.62/x
  3. Step 3: Cross multiply
    24,197.34x = 33,382.80 × 13,981.62
  4. Step 4: Simplify right side
    24,197.34x = 466,745,624.14
  5. Step 5: Solve for x
    x = 466,745,624.14/24,197.34
  6. Step 6: Final answer
    x = 19,289.13

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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.