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Finding the Fourth Proportional to 23,852.86, 32,894.07 and 15,346.30

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Solution

The fourth proportional to 23,852.86, 32,894.07 and 15,346.30 is: 21,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.86 : 32,894.07 = 15,346.30 : x
  2. Step 2: Convert to fraction form
    23,852.86/32,894.07 = 15,346.30/x
  3. Step 3: Cross multiply
    23,852.86x = 32,894.07 × 15,346.30
  4. Step 4: Simplify right side
    23,852.86x = 504,802,266.44
  5. Step 5: Solve for x
    x = 504,802,266.44/23,852.86
  6. Step 6: Final answer
    x = 21,163.18

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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.