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Finding the Fourth Proportional to 12,453.40, 18,691.06 and 6,534.52

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Solution

The fourth proportional to 12,453.40, 18,691.06 and 6,534.52 is: 9,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.40 : 18,691.06 = 6,534.52 : x
  2. Step 2: Convert to fraction form
    12,453.40/18,691.06 = 6,534.52/x
  3. Step 3: Cross multiply
    12,453.40x = 18,691.06 × 6,534.52
  4. Step 4: Simplify right side
    12,453.40x = 122,137,105.39
  5. Step 5: Solve for x
    x = 122,137,105.39/12,453.40
  6. Step 6: Final answer
    x = 9,807.53

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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.