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Finding the Fourth Proportional to 22,446.12, 30,974.04 and 13,494

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Solution

The fourth proportional to 22,446.12, 30,974.04 and 13,494 is: 18,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.12 : 30,974.04 = 13,494 : x
  2. Step 2: Convert to fraction form
    22,446.12/30,974.04 = 13,494/x
  3. Step 3: Cross multiply
    22,446.12x = 30,974.04 × 13,494
  4. Step 4: Simplify right side
    22,446.12x = 417,963,695.76
  5. Step 5: Solve for x
    x = 417,963,695.76/22,446.12
  6. Step 6: Final answer
    x = 18,620.75

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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.