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Finding the Fourth Proportional to 13,400.98, 18,493.95 and 7,432.25

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Solution

The fourth proportional to 13,400.98, 18,493.95 and 7,432.25 is: 10,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.98 : 18,493.95 = 7,432.25 : x
  2. Step 2: Convert to fraction form
    13,400.98/18,493.95 = 7,432.25/x
  3. Step 3: Cross multiply
    13,400.98x = 18,493.95 × 7,432.25
  4. Step 4: Simplify right side
    13,400.98x = 137,451,659.89
  5. Step 5: Solve for x
    x = 137,451,659.89/13,400.98
  6. Step 6: Final answer
    x = 10,256.84

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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.