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Finding the Fourth Proportional to 12,174.96, 16,801.41 and 6,585.96

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Solution

The fourth proportional to 12,174.96, 16,801.41 and 6,585.96 is: 9,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.96 : 16,801.41 = 6,585.96 : x
  2. Step 2: Convert to fraction form
    12,174.96/16,801.41 = 6,585.96/x
  3. Step 3: Cross multiply
    12,174.96x = 16,801.41 × 6,585.96
  4. Step 4: Simplify right side
    12,174.96x = 110,653,414.20
  5. Step 5: Solve for x
    x = 110,653,414.20/12,174.96
  6. Step 6: Final answer
    x = 9,088.61

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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.