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Finding the Fourth Proportional to 17,452.14, 24,082.16 and 10,377.20

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Solution

The fourth proportional to 17,452.14, 24,082.16 and 10,377.20 is: 14,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,452.14 : 24,082.16 = 10,377.20 : x
  2. Step 2: Convert to fraction form
    17,452.14/24,082.16 = 10,377.20/x
  3. Step 3: Cross multiply
    17,452.14x = 24,082.16 × 10,377.20
  4. Step 4: Simplify right side
    17,452.14x = 249,905,218.46
  5. Step 5: Solve for x
    x = 249,905,218.46/17,452.14
  6. Step 6: Final answer
    x = 14,319.46

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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.