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Finding the Fourth Proportional to 12,174.70, 16,801.13 and 6,585.70

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Solution

The fourth proportional to 12,174.70, 16,801.13 and 6,585.70 is: 9,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.70 : 16,801.13 = 6,585.70 : x
  2. Step 2: Convert to fraction form
    12,174.70/16,801.13 = 6,585.70/x
  3. Step 3: Cross multiply
    12,174.70x = 16,801.13 × 6,585.70
  4. Step 4: Simplify right side
    12,174.70x = 110,647,201.84
  5. Step 5: Solve for x
    x = 110,647,201.84/12,174.70
  6. Step 6: Final answer
    x = 9,088.29

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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.