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Finding the Fourth Proportional to 22,438.39, 30,964.98 and 13,012.42

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Solution

The fourth proportional to 22,438.39, 30,964.98 and 13,012.42 is: 17,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.39 : 30,964.98 = 13,012.42 : x
  2. Step 2: Convert to fraction form
    22,438.39/30,964.98 = 13,012.42/x
  3. Step 3: Cross multiply
    22,438.39x = 30,964.98 × 13,012.42
  4. Step 4: Simplify right side
    22,438.39x = 402,929,325.05
  5. Step 5: Solve for x
    x = 402,929,325.05/22,438.39
  6. Step 6: Final answer
    x = 17,957.14

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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.