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Finding the Fourth Proportional to 13,139.34, 19,672.41 and 10,223.34

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Solution

The fourth proportional to 13,139.34, 19,672.41 and 10,223.34 is: 15,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.34 : 19,672.41 = 10,223.34 : x
  2. Step 2: Convert to fraction form
    13,139.34/19,672.41 = 10,223.34/x
  3. Step 3: Cross multiply
    13,139.34x = 19,672.41 × 10,223.34
  4. Step 4: Simplify right side
    13,139.34x = 201,117,736.05
  5. Step 5: Solve for x
    x = 201,117,736.05/13,139.34
  6. Step 6: Final answer
    x = 15,306.53

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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.