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Finding the Fourth Proportional to 13,771.52, 20,657.28 and 8,288

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Solution

The fourth proportional to 13,771.52, 20,657.28 and 8,288 is: 12,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.52 : 20,657.28 = 8,288 : x
  2. Step 2: Convert to fraction form
    13,771.52/20,657.28 = 8,288/x
  3. Step 3: Cross multiply
    13,771.52x = 20,657.28 × 8,288
  4. Step 4: Simplify right side
    13,771.52x = 171,207,536.64
  5. Step 5: Solve for x
    x = 171,207,536.64/13,771.52
  6. Step 6: Final answer
    x = 12,432.00

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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.