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Finding the Fourth Proportional to 22,446.32, 30,972.30 and 13,491.68

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Solution

The fourth proportional to 22,446.32, 30,972.30 and 13,491.68 is: 18,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.32 : 30,972.30 = 13,491.68 : x
  2. Step 2: Convert to fraction form
    22,446.32/30,972.30 = 13,491.68/x
  3. Step 3: Cross multiply
    22,446.32x = 30,972.30 × 13,491.68
  4. Step 4: Simplify right side
    22,446.32x = 417,868,360.46
  5. Step 5: Solve for x
    x = 417,868,360.46/22,446.32
  6. Step 6: Final answer
    x = 18,616.34

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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.