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Finding the Fourth Proportional to 24,697.12, 34,082.04 and 13,519.12

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Solution

The fourth proportional to 24,697.12, 34,082.04 and 13,519.12 is: 18,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.12 : 34,082.04 = 13,519.12 : x
  2. Step 2: Convert to fraction form
    24,697.12/34,082.04 = 13,519.12/x
  3. Step 3: Cross multiply
    24,697.12x = 34,082.04 × 13,519.12
  4. Step 4: Simplify right side
    24,697.12x = 460,759,188.60
  5. Step 5: Solve for x
    x = 460,759,188.60/24,697.12
  6. Step 6: Final answer
    x = 18,656.39

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Why These Related Problems?

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