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Finding the Fourth Proportional to 17,726.64, 26,564.89 and 9,832.63

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Solution

The fourth proportional to 17,726.64, 26,564.89 and 9,832.63 is: 14,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.64 : 26,564.89 = 9,832.63 : x
  2. Step 2: Convert to fraction form
    17,726.64/26,564.89 = 9,832.63/x
  3. Step 3: Cross multiply
    17,726.64x = 26,564.89 × 9,832.63
  4. Step 4: Simplify right side
    17,726.64x = 261,202,734.36
  5. Step 5: Solve for x
    x = 261,202,734.36/17,726.64
  6. Step 6: Final answer
    x = 14,735.04

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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.