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Finding the Fourth Proportional to 12,415.20, 18,637.20 and 6,568.80

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Solution

The fourth proportional to 12,415.20, 18,637.20 and 6,568.80 is: 9,860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.20 : 18,637.20 = 6,568.80 : x
  2. Step 2: Convert to fraction form
    12,415.20/18,637.20 = 6,568.80/x
  3. Step 3: Cross multiply
    12,415.20x = 18,637.20 × 6,568.80
  4. Step 4: Simplify right side
    12,415.20x = 122,424,039.36
  5. Step 5: Solve for x
    x = 122,424,039.36/12,415.20
  6. Step 6: Final answer
    x = 9,860.82

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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.