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Finding the Fourth Proportional to 22,475.62, 31,016.14 and 12,404.16

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Solution

The fourth proportional to 22,475.62, 31,016.14 and 12,404.16 is: 17,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.62 : 31,016.14 = 12,404.16 : x
  2. Step 2: Convert to fraction form
    22,475.62/31,016.14 = 12,404.16/x
  3. Step 3: Cross multiply
    22,475.62x = 31,016.14 × 12,404.16
  4. Step 4: Simplify right side
    22,475.62x = 384,729,163.14
  5. Step 5: Solve for x
    x = 384,729,163.14/22,475.62
  6. Step 6: Final answer
    x = 17,117.62

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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.