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Finding the Fourth Proportional to 32,726.56, 45,162 and 17,822.24

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Solution

The fourth proportional to 32,726.56, 45,162 and 17,822.24 is: 24,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,726.56 : 45,162 = 17,822.24 : x
  2. Step 2: Convert to fraction form
    32,726.56/45,162 = 17,822.24/x
  3. Step 3: Cross multiply
    32,726.56x = 45,162 × 17,822.24
  4. Step 4: Simplify right side
    32,726.56x = 804,888,002.88
  5. Step 5: Solve for x
    x = 804,888,002.88/32,726.56
  6. Step 6: Final answer
    x = 24,594.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.