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Finding the Fourth Proportional to 24,697.17, 34,082.10 and 13,519.17

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Solution

The fourth proportional to 24,697.17, 34,082.10 and 13,519.17 is: 18,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.17 : 34,082.10 = 13,519.17 : x
  2. Step 2: Convert to fraction form
    24,697.17/34,082.10 = 13,519.17/x
  3. Step 3: Cross multiply
    24,697.17x = 34,082.10 × 13,519.17
  4. Step 4: Simplify right side
    24,697.17x = 460,761,703.86
  5. Step 5: Solve for x
    x = 460,761,703.86/24,697.17
  6. Step 6: Final answer
    x = 18,656.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.