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Finding the Fourth Proportional to 17,866.98, 26,802.54 and 6,781.95

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Solution

The fourth proportional to 17,866.98, 26,802.54 and 6,781.95 is: 10,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.98 : 26,802.54 = 6,781.95 : x
  2. Step 2: Convert to fraction form
    17,866.98/26,802.54 = 6,781.95/x
  3. Step 3: Cross multiply
    17,866.98x = 26,802.54 × 6,781.95
  4. Step 4: Simplify right side
    17,866.98x = 181,773,486.15
  5. Step 5: Solve for x
    x = 181,773,486.15/17,866.98
  6. Step 6: Final answer
    x = 10,173.71

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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.