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Finding the Fourth Proportional to 11,422.95, 17,138.52 and 8,297.66

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Solution

The fourth proportional to 11,422.95, 17,138.52 and 8,297.66 is: 12,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.95 : 17,138.52 = 8,297.66 : x
  2. Step 2: Convert to fraction form
    11,422.95/17,138.52 = 8,297.66/x
  3. Step 3: Cross multiply
    11,422.95x = 17,138.52 × 8,297.66
  4. Step 4: Simplify right side
    11,422.95x = 142,209,654.71
  5. Step 5: Solve for x
    x = 142,209,654.71/11,422.95
  6. Step 6: Final answer
    x = 12,449.47

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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.