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Finding the Fourth Proportional to 14,678.32, 20,255.82 and 7,963.96

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Solution

The fourth proportional to 14,678.32, 20,255.82 and 7,963.96 is: 10,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.32 : 20,255.82 = 7,963.96 : x
  2. Step 2: Convert to fraction form
    14,678.32/20,255.82 = 7,963.96/x
  3. Step 3: Cross multiply
    14,678.32x = 20,255.82 × 7,963.96
  4. Step 4: Simplify right side
    14,678.32x = 161,316,540.25
  5. Step 5: Solve for x
    x = 161,316,540.25/14,678.32
  6. Step 6: Final answer
    x = 10,990.12

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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.