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Finding the Fourth Proportional to 17,646.66, 26,476.83 and 7,778.97

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Solution

The fourth proportional to 17,646.66, 26,476.83 and 7,778.97 is: 11,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.66 : 26,476.83 = 7,778.97 : x
  2. Step 2: Convert to fraction form
    17,646.66/26,476.83 = 7,778.97/x
  3. Step 3: Cross multiply
    17,646.66x = 26,476.83 × 7,778.97
  4. Step 4: Simplify right side
    17,646.66x = 205,962,466.27
  5. Step 5: Solve for x
    x = 205,962,466.27/17,646.66
  6. Step 6: Final answer
    x = 11,671.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.