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Finding the Fourth Proportional to 12,463.78, 18,686.08 and 6,453.41

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Solution

The fourth proportional to 12,463.78, 18,686.08 and 6,453.41 is: 9,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.78 : 18,686.08 = 6,453.41 : x
  2. Step 2: Convert to fraction form
    12,463.78/18,686.08 = 6,453.41/x
  3. Step 3: Cross multiply
    12,463.78x = 18,686.08 × 6,453.41
  4. Step 4: Simplify right side
    12,463.78x = 120,588,990.31
  5. Step 5: Solve for x
    x = 120,588,990.31/12,463.78
  6. Step 6: Final answer
    x = 9,675.16

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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.