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Finding the Fourth Proportional to 14,512.66, 20,023.96 and 9,205.54

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Solution

The fourth proportional to 14,512.66, 20,023.96 and 9,205.54 is: 12,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.66 : 20,023.96 = 9,205.54 : x
  2. Step 2: Convert to fraction form
    14,512.66/20,023.96 = 9,205.54/x
  3. Step 3: Cross multiply
    14,512.66x = 20,023.96 × 9,205.54
  4. Step 4: Simplify right side
    14,512.66x = 184,331,364.74
  5. Step 5: Solve for x
    x = 184,331,364.74/14,512.66
  6. Step 6: Final answer
    x = 12,701.42

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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.