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Finding the Fourth Proportional to 12,029.52, 18,019.77 and 5,770.46

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Solution

The fourth proportional to 12,029.52, 18,019.77 and 5,770.46 is: 8,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.52 : 18,019.77 = 5,770.46 : x
  2. Step 2: Convert to fraction form
    12,029.52/18,019.77 = 5,770.46/x
  3. Step 3: Cross multiply
    12,029.52x = 18,019.77 × 5,770.46
  4. Step 4: Simplify right side
    12,029.52x = 103,982,271.90
  5. Step 5: Solve for x
    x = 103,982,271.90/12,029.52
  6. Step 6: Final answer
    x = 8,643.93

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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.