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Finding the Fourth Proportional to 17,400.24, 26,107.68 and 7,009.44

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Solution

The fourth proportional to 17,400.24, 26,107.68 and 7,009.44 is: 10,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,400.24 : 26,107.68 = 7,009.44 : x
  2. Step 2: Convert to fraction form
    17,400.24/26,107.68 = 7,009.44/x
  3. Step 3: Cross multiply
    17,400.24x = 26,107.68 × 7,009.44
  4. Step 4: Simplify right side
    17,400.24x = 183,000,216.50
  5. Step 5: Solve for x
    x = 183,000,216.50/17,400.24
  6. Step 6: Final answer
    x = 10,517.11

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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.