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Finding the Fourth Proportional to 12,288.80, 18,420.16 and 6,040

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Solution

The fourth proportional to 12,288.80, 18,420.16 and 6,040 is: 9,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.80 : 18,420.16 = 6,040 : x
  2. Step 2: Convert to fraction form
    12,288.80/18,420.16 = 6,040/x
  3. Step 3: Cross multiply
    12,288.80x = 18,420.16 × 6,040
  4. Step 4: Simplify right side
    12,288.80x = 111,257,766.40
  5. Step 5: Solve for x
    x = 111,257,766.40/12,288.80
  6. Step 6: Final answer
    x = 9,053.59

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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.