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Finding the Fourth Proportional to 23,616.96, 32,584.06 and 13,406.32

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Solution

The fourth proportional to 23,616.96, 32,584.06 and 13,406.32 is: 18,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.96 : 32,584.06 = 13,406.32 : x
  2. Step 2: Convert to fraction form
    23,616.96/32,584.06 = 13,406.32/x
  3. Step 3: Cross multiply
    23,616.96x = 32,584.06 × 13,406.32
  4. Step 4: Simplify right side
    23,616.96x = 436,832,335.26
  5. Step 5: Solve for x
    x = 436,832,335.26/23,616.96
  6. Step 6: Final answer
    x = 18,496.55

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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.