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Finding the Fourth Proportional to 23,906.42, 32,991.71 and 13,152.14

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Solution

The fourth proportional to 23,906.42, 32,991.71 and 13,152.14 is: 18,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.42 : 32,991.71 = 13,152.14 : x
  2. Step 2: Convert to fraction form
    23,906.42/32,991.71 = 13,152.14/x
  3. Step 3: Cross multiply
    23,906.42x = 32,991.71 × 13,152.14
  4. Step 4: Simplify right side
    23,906.42x = 433,911,358.04
  5. Step 5: Solve for x
    x = 433,911,358.04/23,906.42
  6. Step 6: Final answer
    x = 18,150.42

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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.