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Finding the Fourth Proportional to 22,446.47, 30,976.20 and 12,374.69

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Solution

The fourth proportional to 22,446.47, 30,976.20 and 12,374.69 is: 17,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.47 : 30,976.20 = 12,374.69 : x
  2. Step 2: Convert to fraction form
    22,446.47/30,976.20 = 12,374.69/x
  3. Step 3: Cross multiply
    22,446.47x = 30,976.20 × 12,374.69
  4. Step 4: Simplify right side
    22,446.47x = 383,320,717.50
  5. Step 5: Solve for x
    x = 383,320,717.50/22,446.47
  6. Step 6: Final answer
    x = 17,077.11

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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.