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Finding the Fourth Proportional to 23,203.82, 32,021.74 and 13,132.25

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Solution

The fourth proportional to 23,203.82, 32,021.74 and 13,132.25 is: 18,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.82 : 32,021.74 = 13,132.25 : x
  2. Step 2: Convert to fraction form
    23,203.82/32,021.74 = 13,132.25/x
  3. Step 3: Cross multiply
    23,203.82x = 32,021.74 × 13,132.25
  4. Step 4: Simplify right side
    23,203.82x = 420,517,495.12
  5. Step 5: Solve for x
    x = 420,517,495.12/23,203.82
  6. Step 6: Final answer
    x = 18,122.77

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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.