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Finding the Fourth Proportional to 23,200.77, 32,016.73 and 13,641.74

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Solution

The fourth proportional to 23,200.77, 32,016.73 and 13,641.74 is: 18,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.77 : 32,016.73 = 13,641.74 : x
  2. Step 2: Convert to fraction form
    23,200.77/32,016.73 = 13,641.74/x
  3. Step 3: Cross multiply
    23,200.77x = 32,016.73 × 13,641.74
  4. Step 4: Simplify right side
    23,200.77x = 436,763,906.31
  5. Step 5: Solve for x
    x = 436,763,906.31/23,200.77
  6. Step 6: Final answer
    x = 18,825.41

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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.