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Finding the Fourth Proportional to 12,174.93, 16,801.41 and 6,585.93

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Solution

The fourth proportional to 12,174.93, 16,801.41 and 6,585.93 is: 9,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.93 : 16,801.41 = 6,585.93 : x
  2. Step 2: Convert to fraction form
    12,174.93/16,801.41 = 6,585.93/x
  3. Step 3: Cross multiply
    12,174.93x = 16,801.41 × 6,585.93
  4. Step 4: Simplify right side
    12,174.93x = 110,652,910.16
  5. Step 5: Solve for x
    x = 110,652,910.16/12,174.93
  6. Step 6: Final answer
    x = 9,088.59

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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.