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Finding the Fourth Proportional to 22,438.30, 30,964.70 and 12,366.76

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Solution

The fourth proportional to 22,438.30, 30,964.70 and 12,366.76 is: 17,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.30 : 30,964.70 = 12,366.76 : x
  2. Step 2: Convert to fraction form
    22,438.30/30,964.70 = 12,366.76/x
  3. Step 3: Cross multiply
    22,438.30x = 30,964.70 × 12,366.76
  4. Step 4: Simplify right side
    22,438.30x = 382,933,013.37
  5. Step 5: Solve for x
    x = 382,933,013.37/22,438.30
  6. Step 6: Final answer
    x = 17,066.04

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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.