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Finding the Fourth Proportional to 16,767.90, 23,140.08 and 9,214.65

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Solution

The fourth proportional to 16,767.90, 23,140.08 and 9,214.65 is: 12,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.90 : 23,140.08 = 9,214.65 : x
  2. Step 2: Convert to fraction form
    16,767.90/23,140.08 = 9,214.65/x
  3. Step 3: Cross multiply
    16,767.90x = 23,140.08 × 9,214.65
  4. Step 4: Simplify right side
    16,767.90x = 213,227,738.17
  5. Step 5: Solve for x
    x = 213,227,738.17/16,767.90
  6. Step 6: Final answer
    x = 12,716.42

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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.