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Finding the Fourth Proportional to 17,810.25, 26,715.42 and 7,422

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Solution

The fourth proportional to 17,810.25, 26,715.42 and 7,422 is: 11,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.25 : 26,715.42 = 7,422 : x
  2. Step 2: Convert to fraction form
    17,810.25/26,715.42 = 7,422/x
  3. Step 3: Cross multiply
    17,810.25x = 26,715.42 × 7,422
  4. Step 4: Simplify right side
    17,810.25x = 198,281,847.24
  5. Step 5: Solve for x
    x = 198,281,847.24/17,810.25
  6. Step 6: Final answer
    x = 11,133.02

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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.