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Finding the Fourth Proportional to 23,872.16, 35,805.47 and 6,343.35

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Solution

The fourth proportional to 23,872.16, 35,805.47 and 6,343.35 is: 9,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.16 : 35,805.47 = 6,343.35 : x
  2. Step 2: Convert to fraction form
    23,872.16/35,805.47 = 6,343.35/x
  3. Step 3: Cross multiply
    23,872.16x = 35,805.47 × 6,343.35
  4. Step 4: Simplify right side
    23,872.16x = 227,126,596.41
  5. Step 5: Solve for x
    x = 227,126,596.41/23,872.16
  6. Step 6: Final answer
    x = 9,514.29

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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.