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Finding the Fourth Proportional to 13,718.26, 20,574.14 and 6,318.10

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Solution

The fourth proportional to 13,718.26, 20,574.14 and 6,318.10 is: 9,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.26 : 20,574.14 = 6,318.10 : x
  2. Step 2: Convert to fraction form
    13,718.26/20,574.14 = 6,318.10/x
  3. Step 3: Cross multiply
    13,718.26x = 20,574.14 × 6,318.10
  4. Step 4: Simplify right side
    13,718.26x = 129,989,473.93
  5. Step 5: Solve for x
    x = 129,989,473.93/13,718.26
  6. Step 6: Final answer
    x = 9,475.65

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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.