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Finding the Fourth Proportional to 17,723.66, 26,572.31 and 7,726.52

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Solution

The fourth proportional to 17,723.66, 26,572.31 and 7,726.52 is: 11,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.66 : 26,572.31 = 7,726.52 : x
  2. Step 2: Convert to fraction form
    17,723.66/26,572.31 = 7,726.52/x
  3. Step 3: Cross multiply
    17,723.66x = 26,572.31 × 7,726.52
  4. Step 4: Simplify right side
    17,723.66x = 205,311,313.17
  5. Step 5: Solve for x
    x = 205,311,313.17/17,723.66
  6. Step 6: Final answer
    x = 11,584.03

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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.