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Finding the Fourth Proportional to 12,646.28, 17,452.10 and 7,344.04

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Solution

The fourth proportional to 12,646.28, 17,452.10 and 7,344.04 is: 10,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.28 : 17,452.10 = 7,344.04 : x
  2. Step 2: Convert to fraction form
    12,646.28/17,452.10 = 7,344.04/x
  3. Step 3: Cross multiply
    12,646.28x = 17,452.10 × 7,344.04
  4. Step 4: Simplify right side
    12,646.28x = 128,168,920.48
  5. Step 5: Solve for x
    x = 128,168,920.48/12,646.28
  6. Step 6: Final answer
    x = 10,134.91

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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.