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Finding the Fourth Proportional to 12,578.19, 18,871.38 and 6,003.52

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Solution

The fourth proportional to 12,578.19, 18,871.38 and 6,003.52 is: 9,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.19 : 18,871.38 = 6,003.52 : x
  2. Step 2: Convert to fraction form
    12,578.19/18,871.38 = 6,003.52/x
  3. Step 3: Cross multiply
    12,578.19x = 18,871.38 × 6,003.52
  4. Step 4: Simplify right side
    12,578.19x = 113,294,707.26
  5. Step 5: Solve for x
    x = 113,294,707.26/12,578.19
  6. Step 6: Final answer
    x = 9,007.23

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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.