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Finding the Fourth Proportional to 13,709.19, 20,572.29 and 6,314.70

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Solution

The fourth proportional to 13,709.19, 20,572.29 and 6,314.70 is: 9,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.19 : 20,572.29 = 6,314.70 : x
  2. Step 2: Convert to fraction form
    13,709.19/20,572.29 = 6,314.70/x
  3. Step 3: Cross multiply
    13,709.19x = 20,572.29 × 6,314.70
  4. Step 4: Simplify right side
    13,709.19x = 129,907,839.66
  5. Step 5: Solve for x
    x = 129,907,839.66/13,709.19
  6. Step 6: Final answer
    x = 9,475.97

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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.