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Finding the Fourth Proportional to 22,449.82, 30,980.96 and 12,378.62

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Solution

The fourth proportional to 22,449.82, 30,980.96 and 12,378.62 is: 17,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.82 : 30,980.96 = 12,378.62 : x
  2. Step 2: Convert to fraction form
    22,449.82/30,980.96 = 12,378.62/x
  3. Step 3: Cross multiply
    22,449.82x = 30,980.96 × 12,378.62
  4. Step 4: Simplify right side
    22,449.82x = 383,501,639.47
  5. Step 5: Solve for x
    x = 383,501,639.47/22,449.82
  6. Step 6: Final answer
    x = 17,082.62

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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.