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Finding the Fourth Proportional to 13,657.28, 20,454.12 and 13,283.46

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Solution

The fourth proportional to 13,657.28, 20,454.12 and 13,283.46 is: 19,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.28 : 20,454.12 = 13,283.46 : x
  2. Step 2: Convert to fraction form
    13,657.28/20,454.12 = 13,283.46/x
  3. Step 3: Cross multiply
    13,657.28x = 20,454.12 × 13,283.46
  4. Step 4: Simplify right side
    13,657.28x = 271,701,484.86
  5. Step 5: Solve for x
    x = 271,701,484.86/13,657.28
  6. Step 6: Final answer
    x = 19,894.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.