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Finding the Fourth Proportional to 13,153.23, 19,729.31 and 7,306.11

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Solution

The fourth proportional to 13,153.23, 19,729.31 and 7,306.11 is: 10,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.23 : 19,729.31 = 7,306.11 : x
  2. Step 2: Convert to fraction form
    13,153.23/19,729.31 = 7,306.11/x
  3. Step 3: Cross multiply
    13,153.23x = 19,729.31 × 7,306.11
  4. Step 4: Simplify right side
    13,153.23x = 144,144,472.55
  5. Step 5: Solve for x
    x = 144,144,472.55/13,153.23
  6. Step 6: Final answer
    x = 10,958.87

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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.