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Finding the Fourth Proportional to 15,211.56, 22,817.34 and 4,822.50

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Solution

The fourth proportional to 15,211.56, 22,817.34 and 4,822.50 is: 7,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.56 : 22,817.34 = 4,822.50 : x
  2. Step 2: Convert to fraction form
    15,211.56/22,817.34 = 4,822.50/x
  3. Step 3: Cross multiply
    15,211.56x = 22,817.34 × 4,822.50
  4. Step 4: Simplify right side
    15,211.56x = 110,036,622.15
  5. Step 5: Solve for x
    x = 110,036,622.15/15,211.56
  6. Step 6: Final answer
    x = 7,233.75

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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.