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Finding the Fourth Proportional to 12,175.13, 16,801.68 and 6,586.13

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Solution

The fourth proportional to 12,175.13, 16,801.68 and 6,586.13 is: 9,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.13 : 16,801.68 = 6,586.13 : x
  2. Step 2: Convert to fraction form
    12,175.13/16,801.68 = 6,586.13/x
  3. Step 3: Cross multiply
    12,175.13x = 16,801.68 × 6,586.13
  4. Step 4: Simplify right side
    12,175.13x = 110,657,964.69
  5. Step 5: Solve for x
    x = 110,657,964.69/12,175.13
  6. Step 6: Final answer
    x = 9,088.86

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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.