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Finding the Fourth Proportional to 23,118.16, 34,662.66 and 9,963.76

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Solution

The fourth proportional to 23,118.16, 34,662.66 and 9,963.76 is: 14,939.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.16 : 34,662.66 = 9,963.76 : x
  2. Step 2: Convert to fraction form
    23,118.16/34,662.66 = 9,963.76/x
  3. Step 3: Cross multiply
    23,118.16x = 34,662.66 × 9,963.76
  4. Step 4: Simplify right side
    23,118.16x = 345,370,425.20
  5. Step 5: Solve for x
    x = 345,370,425.20/23,118.16
  6. Step 6: Final answer
    x = 14,939.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.