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Finding the Fourth Proportional to 16,003.76, 24,005.88 and 7,238.96

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Solution

The fourth proportional to 16,003.76, 24,005.88 and 7,238.96 is: 10,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.76 : 24,005.88 = 7,238.96 : x
  2. Step 2: Convert to fraction form
    16,003.76/24,005.88 = 7,238.96/x
  3. Step 3: Cross multiply
    16,003.76x = 24,005.88 × 7,238.96
  4. Step 4: Simplify right side
    16,003.76x = 173,777,605.08
  5. Step 5: Solve for x
    x = 173,777,605.08/16,003.76
  6. Step 6: Final answer
    x = 10,858.55

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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.