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Finding the Fourth Proportional to 23,201.58, 32,016.42 and 13,641.87

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Solution

The fourth proportional to 23,201.58, 32,016.42 and 13,641.87 is: 18,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.58 : 32,016.42 = 13,641.87 : x
  2. Step 2: Convert to fraction form
    23,201.58/32,016.42 = 13,641.87/x
  3. Step 3: Cross multiply
    23,201.58x = 32,016.42 × 13,641.87
  4. Step 4: Simplify right side
    23,201.58x = 436,763,839.51
  5. Step 5: Solve for x
    x = 436,763,839.51/23,201.58
  6. Step 6: Final answer
    x = 18,824.75

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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.