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Finding the Fourth Proportional to 17,822.18, 26,735.70 and 7,431.50

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Solution

The fourth proportional to 17,822.18, 26,735.70 and 7,431.50 is: 11,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.18 : 26,735.70 = 7,431.50 : x
  2. Step 2: Convert to fraction form
    17,822.18/26,735.70 = 7,431.50/x
  3. Step 3: Cross multiply
    17,822.18x = 26,735.70 × 7,431.50
  4. Step 4: Simplify right side
    17,822.18x = 198,686,354.55
  5. Step 5: Solve for x
    x = 198,686,354.55/17,822.18
  6. Step 6: Final answer
    x = 11,148.26

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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.