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Finding the Fourth Proportional to 13,432.40, 20,156.49 and 7,522.64

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Solution

The fourth proportional to 13,432.40, 20,156.49 and 7,522.64 is: 11,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.40 : 20,156.49 = 7,522.64 : x
  2. Step 2: Convert to fraction form
    13,432.40/20,156.49 = 7,522.64/x
  3. Step 3: Cross multiply
    13,432.40x = 20,156.49 × 7,522.64
  4. Step 4: Simplify right side
    13,432.40x = 151,629,917.15
  5. Step 5: Solve for x
    x = 151,629,917.15/13,432.40
  6. Step 6: Final answer
    x = 11,288.38

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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.