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Finding the Fourth Proportional to 23,233.76, 32,064.54 and 13,165.40

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Solution

The fourth proportional to 23,233.76, 32,064.54 and 13,165.40 is: 18,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.76 : 32,064.54 = 13,165.40 : x
  2. Step 2: Convert to fraction form
    23,233.76/32,064.54 = 13,165.40/x
  3. Step 3: Cross multiply
    23,233.76x = 32,064.54 × 13,165.40
  4. Step 4: Simplify right side
    23,233.76x = 422,142,494.92
  5. Step 5: Solve for x
    x = 422,142,494.92/23,233.76
  6. Step 6: Final answer
    x = 18,169.36

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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.