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Finding the Fourth Proportional to 17,726.60, 26,564.83 and 9,832.59

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Solution

The fourth proportional to 17,726.60, 26,564.83 and 9,832.59 is: 14,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.60 : 26,564.83 = 9,832.59 : x
  2. Step 2: Convert to fraction form
    17,726.60/26,564.83 = 9,832.59/x
  3. Step 3: Cross multiply
    17,726.60x = 26,564.83 × 9,832.59
  4. Step 4: Simplify right side
    17,726.60x = 261,201,057.23
  5. Step 5: Solve for x
    x = 261,201,057.23/17,726.60
  6. Step 6: Final answer
    x = 14,734.98

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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.