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Finding the Fourth Proportional to 22,958.92, 31,681.20 and 12,889

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Solution

The fourth proportional to 22,958.92, 31,681.20 and 12,889 is: 17,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.92 : 31,681.20 = 12,889 : x
  2. Step 2: Convert to fraction form
    22,958.92/31,681.20 = 12,889/x
  3. Step 3: Cross multiply
    22,958.92x = 31,681.20 × 12,889
  4. Step 4: Simplify right side
    22,958.92x = 408,338,986.80
  5. Step 5: Solve for x
    x = 408,338,986.80/22,958.92
  6. Step 6: Final answer
    x = 17,785.64

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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.