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Finding the Fourth Proportional to 13,082.97, 19,617.17 and 4,315.53

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Solution

The fourth proportional to 13,082.97, 19,617.17 and 4,315.53 is: 6,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.97 : 19,617.17 = 4,315.53 : x
  2. Step 2: Convert to fraction form
    13,082.97/19,617.17 = 4,315.53/x
  3. Step 3: Cross multiply
    13,082.97x = 19,617.17 × 4,315.53
  4. Step 4: Simplify right side
    13,082.97x = 84,658,464.07
  5. Step 5: Solve for x
    x = 84,658,464.07/13,082.97
  6. Step 6: Final answer
    x = 6,470.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.