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Finding the Fourth Proportional to 16,252.77, 24,359.21 and 9,238.66

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Solution

The fourth proportional to 16,252.77, 24,359.21 and 9,238.66 is: 13,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.77 : 24,359.21 = 9,238.66 : x
  2. Step 2: Convert to fraction form
    16,252.77/24,359.21 = 9,238.66/x
  3. Step 3: Cross multiply
    16,252.77x = 24,359.21 × 9,238.66
  4. Step 4: Simplify right side
    16,252.77x = 225,046,459.06
  5. Step 5: Solve for x
    x = 225,046,459.06/16,252.77
  6. Step 6: Final answer
    x = 13,846.65

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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.