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Finding the Fourth Proportional to 16,767.88, 23,140.06 and 9,214.68

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Solution

The fourth proportional to 16,767.88, 23,140.06 and 9,214.68 is: 12,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.88 : 23,140.06 = 9,214.68 : x
  2. Step 2: Convert to fraction form
    16,767.88/23,140.06 = 9,214.68/x
  3. Step 3: Cross multiply
    16,767.88x = 23,140.06 × 9,214.68
  4. Step 4: Simplify right side
    16,767.88x = 213,228,248.08
  5. Step 5: Solve for x
    x = 213,228,248.08/16,767.88
  6. Step 6: Final answer
    x = 12,716.47

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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.