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Finding the Fourth Proportional to 13,378.10, 20,073.22 and 7,139.61

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Solution

The fourth proportional to 13,378.10, 20,073.22 and 7,139.61 is: 10,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.10 : 20,073.22 = 7,139.61 : x
  2. Step 2: Convert to fraction form
    13,378.10/20,073.22 = 7,139.61/x
  3. Step 3: Cross multiply
    13,378.10x = 20,073.22 × 7,139.61
  4. Step 4: Simplify right side
    13,378.10x = 143,314,944.40
  5. Step 5: Solve for x
    x = 143,314,944.40/13,378.10
  6. Step 6: Final answer
    x = 10,712.66

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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.