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Finding the Fourth Proportional to 14,677.94, 20,255.64 and 7,963.58

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Solution

The fourth proportional to 14,677.94, 20,255.64 and 7,963.58 is: 10,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.94 : 20,255.64 = 7,963.58 : x
  2. Step 2: Convert to fraction form
    14,677.94/20,255.64 = 7,963.58/x
  3. Step 3: Cross multiply
    14,677.94x = 20,255.64 × 7,963.58
  4. Step 4: Simplify right side
    14,677.94x = 161,307,409.59
  5. Step 5: Solve for x
    x = 161,307,409.59/14,677.94
  6. Step 6: Final answer
    x = 10,989.79

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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.