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Finding the Fourth Proportional to 22,912.50, 34,374.12 and 7,116.72

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Solution

The fourth proportional to 22,912.50, 34,374.12 and 7,116.72 is: 10,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.50 : 34,374.12 = 7,116.72 : x
  2. Step 2: Convert to fraction form
    22,912.50/34,374.12 = 7,116.72/x
  3. Step 3: Cross multiply
    22,912.50x = 34,374.12 × 7,116.72
  4. Step 4: Simplify right side
    22,912.50x = 244,630,987.29
  5. Step 5: Solve for x
    x = 244,630,987.29/22,912.50
  6. Step 6: Final answer
    x = 10,676.75

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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.