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Finding the Fourth Proportional to 17,816.52, 26,729.76 and 7,822.20

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Solution

The fourth proportional to 17,816.52, 26,729.76 and 7,822.20 is: 11,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.52 : 26,729.76 = 7,822.20 : x
  2. Step 2: Convert to fraction form
    17,816.52/26,729.76 = 7,822.20/x
  3. Step 3: Cross multiply
    17,816.52x = 26,729.76 × 7,822.20
  4. Step 4: Simplify right side
    17,816.52x = 209,085,528.67
  5. Step 5: Solve for x
    x = 209,085,528.67/17,816.52
  6. Step 6: Final answer
    x = 11,735.49

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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.