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Finding the Fourth Proportional to 13,400.79, 18,493.14 and 7,432.44

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Solution

The fourth proportional to 13,400.79, 18,493.14 and 7,432.44 is: 10,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.79 : 18,493.14 = 7,432.44 : x
  2. Step 2: Convert to fraction form
    13,400.79/18,493.14 = 7,432.44/x
  3. Step 3: Cross multiply
    13,400.79x = 18,493.14 × 7,432.44
  4. Step 4: Simplify right side
    13,400.79x = 137,449,153.46
  5. Step 5: Solve for x
    x = 137,449,153.46/13,400.79
  6. Step 6: Final answer
    x = 10,256.79

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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.