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Finding the Fourth Proportional to 23,540.85, 35,316.70 and 6,902.16

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Solution

The fourth proportional to 23,540.85, 35,316.70 and 6,902.16 is: 10,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.85 : 35,316.70 = 6,902.16 : x
  2. Step 2: Convert to fraction form
    23,540.85/35,316.70 = 6,902.16/x
  3. Step 3: Cross multiply
    23,540.85x = 35,316.70 × 6,902.16
  4. Step 4: Simplify right side
    23,540.85x = 243,761,514.07
  5. Step 5: Solve for x
    x = 243,761,514.07/23,540.85
  6. Step 6: Final answer
    x = 10,354.83

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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.