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Finding the Fourth Proportional to 11,816.67, 17,726.80 and 4,023.66

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Solution

The fourth proportional to 11,816.67, 17,726.80 and 4,023.66 is: 6,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.67 : 17,726.80 = 4,023.66 : x
  2. Step 2: Convert to fraction form
    11,816.67/17,726.80 = 4,023.66/x
  3. Step 3: Cross multiply
    11,816.67x = 17,726.80 × 4,023.66
  4. Step 4: Simplify right side
    11,816.67x = 71,326,606.03
  5. Step 5: Solve for x
    x = 71,326,606.03/11,816.67
  6. Step 6: Final answer
    x = 6,036.10

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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.