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Finding the Fourth Proportional to 23,040.71, 31,793.72 and 12,968.98

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Solution

The fourth proportional to 23,040.71, 31,793.72 and 12,968.98 is: 17,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040.71 : 31,793.72 = 12,968.98 : x
  2. Step 2: Convert to fraction form
    23,040.71/31,793.72 = 12,968.98/x
  3. Step 3: Cross multiply
    23,040.71x = 31,793.72 × 12,968.98
  4. Step 4: Simplify right side
    23,040.71x = 412,331,974.48
  5. Step 5: Solve for x
    x = 412,331,974.48/23,040.71
  6. Step 6: Final answer
    x = 17,895.80

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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.