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Finding the Fourth Proportional to 13,512.40, 18,647.41 and 7,543.78

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Solution

The fourth proportional to 13,512.40, 18,647.41 and 7,543.78 is: 10,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.40 : 18,647.41 = 7,543.78 : x
  2. Step 2: Convert to fraction form
    13,512.40/18,647.41 = 7,543.78/x
  3. Step 3: Cross multiply
    13,512.40x = 18,647.41 × 7,543.78
  4. Step 4: Simplify right side
    13,512.40x = 140,671,958.61
  5. Step 5: Solve for x
    x = 140,671,958.61/13,512.40
  6. Step 6: Final answer
    x = 10,410.58

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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.