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Finding the Fourth Proportional to 23,254.56, 34,878.10 and 6,383.63

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Solution

The fourth proportional to 23,254.56, 34,878.10 and 6,383.63 is: 9,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.56 : 34,878.10 = 6,383.63 : x
  2. Step 2: Convert to fraction form
    23,254.56/34,878.10 = 6,383.63/x
  3. Step 3: Cross multiply
    23,254.56x = 34,878.10 × 6,383.63
  4. Step 4: Simplify right side
    23,254.56x = 222,648,885.50
  5. Step 5: Solve for x
    x = 222,648,885.50/23,254.56
  6. Step 6: Final answer
    x = 9,574.42

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Why These Related Problems?

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