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Finding the Fourth Proportional to 23,642.82, 32,626.98 and 13,032.23

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Solution

The fourth proportional to 23,642.82, 32,626.98 and 13,032.23 is: 17,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.82 : 32,626.98 = 13,032.23 : x
  2. Step 2: Convert to fraction form
    23,642.82/32,626.98 = 13,032.23/x
  3. Step 3: Cross multiply
    23,642.82x = 32,626.98 × 13,032.23
  4. Step 4: Simplify right side
    23,642.82x = 425,202,144.43
  5. Step 5: Solve for x
    x = 425,202,144.43/23,642.82
  6. Step 6: Final answer
    x = 17,984.41

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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.