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Finding the Fourth Proportional to 12,774.24, 19,162.32 and 3,540

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Solution

The fourth proportional to 12,774.24, 19,162.32 and 3,540 is: 5,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.24 : 19,162.32 = 3,540 : x
  2. Step 2: Convert to fraction form
    12,774.24/19,162.32 = 3,540/x
  3. Step 3: Cross multiply
    12,774.24x = 19,162.32 × 3,540
  4. Step 4: Simplify right side
    12,774.24x = 67,834,612.80
  5. Step 5: Solve for x
    x = 67,834,612.80/12,774.24
  6. Step 6: Final answer
    x = 5,310.27

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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.