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Finding the Fourth Proportional to 23,018.74, 31,765.17 and 12,947.74

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Solution

The fourth proportional to 23,018.74, 31,765.17 and 12,947.74 is: 17,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,018.74 : 31,765.17 = 12,947.74 : x
  2. Step 2: Convert to fraction form
    23,018.74/31,765.17 = 12,947.74/x
  3. Step 3: Cross multiply
    23,018.74x = 31,765.17 × 12,947.74
  4. Step 4: Simplify right side
    23,018.74x = 411,287,162.22
  5. Step 5: Solve for x
    x = 411,287,162.22/23,018.74
  6. Step 6: Final answer
    x = 17,867.49

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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.