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Finding the Fourth Proportional to 17,822.68, 26,736.45 and 7,432

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Solution

The fourth proportional to 17,822.68, 26,736.45 and 7,432 is: 11,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.68 : 26,736.45 = 7,432 : x
  2. Step 2: Convert to fraction form
    17,822.68/26,736.45 = 7,432/x
  3. Step 3: Cross multiply
    17,822.68x = 26,736.45 × 7,432
  4. Step 4: Simplify right side
    17,822.68x = 198,705,296.40
  5. Step 5: Solve for x
    x = 198,705,296.40/17,822.68
  6. Step 6: Final answer
    x = 11,149.01

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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.