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Finding the Fourth Proportional to 23,233.68, 32,062.56 and 13,164

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Solution

The fourth proportional to 23,233.68, 32,062.56 and 13,164 is: 18,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.68 : 32,062.56 = 13,164 : x
  2. Step 2: Convert to fraction form
    23,233.68/32,062.56 = 13,164/x
  3. Step 3: Cross multiply
    23,233.68x = 32,062.56 × 13,164
  4. Step 4: Simplify right side
    23,233.68x = 422,071,539.84
  5. Step 5: Solve for x
    x = 422,071,539.84/23,233.68
  6. Step 6: Final answer
    x = 18,166.37

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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.