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Finding the Fourth Proportional to 13,718.40, 20,578.35 and 3,856.90

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Solution

The fourth proportional to 13,718.40, 20,578.35 and 3,856.90 is: 5,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.40 : 20,578.35 = 3,856.90 : x
  2. Step 2: Convert to fraction form
    13,718.40/20,578.35 = 3,856.90/x
  3. Step 3: Cross multiply
    13,718.40x = 20,578.35 × 3,856.90
  4. Step 4: Simplify right side
    13,718.40x = 79,368,638.12
  5. Step 5: Solve for x
    x = 79,368,638.12/13,718.40
  6. Step 6: Final answer
    x = 5,785.56

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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.