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Finding the Fourth Proportional to 23,018.89, 31,767.02 and 12,947.80

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Solution

The fourth proportional to 23,018.89, 31,767.02 and 12,947.80 is: 17,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,018.89 : 31,767.02 = 12,947.80 : x
  2. Step 2: Convert to fraction form
    23,018.89/31,767.02 = 12,947.80/x
  3. Step 3: Cross multiply
    23,018.89x = 31,767.02 × 12,947.80
  4. Step 4: Simplify right side
    23,018.89x = 411,313,021.56
  5. Step 5: Solve for x
    x = 411,313,021.56/23,018.89
  6. Step 6: Final answer
    x = 17,868.50

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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.