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Finding the Fourth Proportional to 22,252.32, 30,711 and 13,299.84

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Solution

The fourth proportional to 22,252.32, 30,711 and 13,299.84 is: 18,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.32 : 30,711 = 13,299.84 : x
  2. Step 2: Convert to fraction form
    22,252.32/30,711 = 13,299.84/x
  3. Step 3: Cross multiply
    22,252.32x = 30,711 × 13,299.84
  4. Step 4: Simplify right side
    22,252.32x = 408,451,386.24
  5. Step 5: Solve for x
    x = 408,451,386.24/22,252.32
  6. Step 6: Final answer
    x = 18,355.45

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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.