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Finding the Fourth Proportional to 12,169.68, 16,794.35 and 7,137.51

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Solution

The fourth proportional to 12,169.68, 16,794.35 and 7,137.51 is: 9,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.68 : 16,794.35 = 7,137.51 : x
  2. Step 2: Convert to fraction form
    12,169.68/16,794.35 = 7,137.51/x
  3. Step 3: Cross multiply
    12,169.68x = 16,794.35 × 7,137.51
  4. Step 4: Simplify right side
    12,169.68x = 119,869,841.07
  5. Step 5: Solve for x
    x = 119,869,841.07/12,169.68
  6. Step 6: Final answer
    x = 9,849.88

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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.