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Finding the Fourth Proportional to 16,234.83, 24,332.65 and 7,902.36

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Solution

The fourth proportional to 16,234.83, 24,332.65 and 7,902.36 is: 11,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.83 : 24,332.65 = 7,902.36 : x
  2. Step 2: Convert to fraction form
    16,234.83/24,332.65 = 7,902.36/x
  3. Step 3: Cross multiply
    16,234.83x = 24,332.65 × 7,902.36
  4. Step 4: Simplify right side
    16,234.83x = 192,285,360.05
  5. Step 5: Solve for x
    x = 192,285,360.05/16,234.83
  6. Step 6: Final answer
    x = 11,844.00

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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.