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Finding the Fourth Proportional to 23,642.64, 32,626.44 and 13,032

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Solution

The fourth proportional to 23,642.64, 32,626.44 and 13,032 is: 17,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.64 : 32,626.44 = 13,032 : x
  2. Step 2: Convert to fraction form
    23,642.64/32,626.44 = 13,032/x
  3. Step 3: Cross multiply
    23,642.64x = 32,626.44 × 13,032
  4. Step 4: Simplify right side
    23,642.64x = 425,187,766.08
  5. Step 5: Solve for x
    x = 425,187,766.08/23,642.64
  6. Step 6: Final answer
    x = 17,983.94

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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.