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Finding the Fourth Proportional to 16,741.87, 25,121 and 6,746.20

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Solution

The fourth proportional to 16,741.87, 25,121 and 6,746.20 is: 10,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,741.87 : 25,121 = 6,746.20 : x
  2. Step 2: Convert to fraction form
    16,741.87/25,121 = 6,746.20/x
  3. Step 3: Cross multiply
    16,741.87x = 25,121 × 6,746.20
  4. Step 4: Simplify right side
    16,741.87x = 169,471,290.20
  5. Step 5: Solve for x
    x = 169,471,290.20/16,741.87
  6. Step 6: Final answer
    x = 10,122.60

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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.