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Finding the Fourth Proportional to 16,002.77, 24,003.92 and 7,237.68

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Solution

The fourth proportional to 16,002.77, 24,003.92 and 7,237.68 is: 10,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.77 : 24,003.92 = 7,237.68 : x
  2. Step 2: Convert to fraction form
    16,002.77/24,003.92 = 7,237.68/x
  3. Step 3: Cross multiply
    16,002.77x = 24,003.92 × 7,237.68
  4. Step 4: Simplify right side
    16,002.77x = 173,732,655.52
  5. Step 5: Solve for x
    x = 173,732,655.52/16,002.77
  6. Step 6: Final answer
    x = 10,856.41

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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.