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Finding the Fourth Proportional to 16,767.97, 23,139.86 and 9,214.45

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Solution

The fourth proportional to 16,767.97, 23,139.86 and 9,214.45 is: 12,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.97 : 23,139.86 = 9,214.45 : x
  2. Step 2: Convert to fraction form
    16,767.97/23,139.86 = 9,214.45/x
  3. Step 3: Cross multiply
    16,767.97x = 23,139.86 × 9,214.45
  4. Step 4: Simplify right side
    16,767.97x = 213,220,979.06
  5. Step 5: Solve for x
    x = 213,220,979.06/16,767.97
  6. Step 6: Final answer
    x = 12,715.97

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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.