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Finding the Fourth Proportional to 12,234.31, 16,889.61 and 7,521.32

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Solution

The fourth proportional to 12,234.31, 16,889.61 and 7,521.32 is: 10,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.31 : 16,889.61 = 7,521.32 : x
  2. Step 2: Convert to fraction form
    12,234.31/16,889.61 = 7,521.32/x
  3. Step 3: Cross multiply
    12,234.31x = 16,889.61 × 7,521.32
  4. Step 4: Simplify right side
    12,234.31x = 127,032,231.91
  5. Step 5: Solve for x
    x = 127,032,231.91/12,234.31
  6. Step 6: Final answer
    x = 10,383.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.