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Finding the Fourth Proportional to 23,269.96, 32,111.82 and 12,659.32

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Solution

The fourth proportional to 23,269.96, 32,111.82 and 12,659.32 is: 17,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.96 : 32,111.82 = 12,659.32 : x
  2. Step 2: Convert to fraction form
    23,269.96/32,111.82 = 12,659.32/x
  3. Step 3: Cross multiply
    23,269.96x = 32,111.82 × 12,659.32
  4. Step 4: Simplify right side
    23,269.96x = 406,513,805.16
  5. Step 5: Solve for x
    x = 406,513,805.16/23,269.96
  6. Step 6: Final answer
    x = 17,469.47

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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.