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Finding the Fourth Proportional to 17,158.16, 25,741.20 and 7,297.76

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Solution

The fourth proportional to 17,158.16, 25,741.20 and 7,297.76 is: 10,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158.16 : 25,741.20 = 7,297.76 : x
  2. Step 2: Convert to fraction form
    17,158.16/25,741.20 = 7,297.76/x
  3. Step 3: Cross multiply
    17,158.16x = 25,741.20 × 7,297.76
  4. Step 4: Simplify right side
    17,158.16x = 187,853,099.71
  5. Step 5: Solve for x
    x = 187,853,099.71/17,158.16
  6. Step 6: Final answer
    x = 10,948.32

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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.