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Finding the Fourth Proportional to 13,198.24, 18,215.76 and 7,534

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Solution

The fourth proportional to 13,198.24, 18,215.76 and 7,534 is: 10,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.24 : 18,215.76 = 7,534 : x
  2. Step 2: Convert to fraction form
    13,198.24/18,215.76 = 7,534/x
  3. Step 3: Cross multiply
    13,198.24x = 18,215.76 × 7,534
  4. Step 4: Simplify right side
    13,198.24x = 137,237,535.84
  5. Step 5: Solve for x
    x = 137,237,535.84/13,198.24
  6. Step 6: Final answer
    x = 10,398.17

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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.