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Finding the Fourth Proportional to 12,648.48, 18,972.51 and 3,883.20

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Solution

The fourth proportional to 12,648.48, 18,972.51 and 3,883.20 is: 5,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.48 : 18,972.51 = 3,883.20 : x
  2. Step 2: Convert to fraction form
    12,648.48/18,972.51 = 3,883.20/x
  3. Step 3: Cross multiply
    12,648.48x = 18,972.51 × 3,883.20
  4. Step 4: Simplify right side
    12,648.48x = 73,674,050.83
  5. Step 5: Solve for x
    x = 73,674,050.83/12,648.48
  6. Step 6: Final answer
    x = 5,824.74

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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.