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Finding the Fourth Proportional to 13,882.67, 19,158.02 and 7,509.27

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Solution

The fourth proportional to 13,882.67, 19,158.02 and 7,509.27 is: 10,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.67 : 19,158.02 = 7,509.27 : x
  2. Step 2: Convert to fraction form
    13,882.67/19,158.02 = 7,509.27/x
  3. Step 3: Cross multiply
    13,882.67x = 19,158.02 × 7,509.27
  4. Step 4: Simplify right side
    13,882.67x = 143,862,744.85
  5. Step 5: Solve for x
    x = 143,862,744.85/13,882.67
  6. Step 6: Final answer
    x = 10,362.76

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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.