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Finding the Fourth Proportional to 14,517.50, 20,032.53 and 8,142.77

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Solution

The fourth proportional to 14,517.50, 20,032.53 and 8,142.77 is: 11,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.50 : 20,032.53 = 8,142.77 : x
  2. Step 2: Convert to fraction form
    14,517.50/20,032.53 = 8,142.77/x
  3. Step 3: Cross multiply
    14,517.50x = 20,032.53 × 8,142.77
  4. Step 4: Simplify right side
    14,517.50x = 163,120,184.15
  5. Step 5: Solve for x
    x = 163,120,184.15/14,517.50
  6. Step 6: Final answer
    x = 11,236.11

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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.