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Finding the Fourth Proportional to 23,852.34, 35,781.75 and 8,271.18

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Solution

The fourth proportional to 23,852.34, 35,781.75 and 8,271.18 is: 12,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.34 : 35,781.75 = 8,271.18 : x
  2. Step 2: Convert to fraction form
    23,852.34/35,781.75 = 8,271.18/x
  3. Step 3: Cross multiply
    23,852.34x = 35,781.75 × 8,271.18
  4. Step 4: Simplify right side
    23,852.34x = 295,957,294.97
  5. Step 5: Solve for x
    x = 295,957,294.97/23,852.34
  6. Step 6: Final answer
    x = 12,407.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.