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Finding the Fourth Proportional to 14,677.71, 20,255.32 and 7,963.35

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Solution

The fourth proportional to 14,677.71, 20,255.32 and 7,963.35 is: 10,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.71 : 20,255.32 = 7,963.35 : x
  2. Step 2: Convert to fraction form
    14,677.71/20,255.32 = 7,963.35/x
  3. Step 3: Cross multiply
    14,677.71x = 20,255.32 × 7,963.35
  4. Step 4: Simplify right side
    14,677.71x = 161,300,091.72
  5. Step 5: Solve for x
    x = 161,300,091.72/14,677.71
  6. Step 6: Final answer
    x = 10,989.46

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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.