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Finding the Fourth Proportional to 26,189.51, 39,284.43 and 7,469.49

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Solution

The fourth proportional to 26,189.51, 39,284.43 and 7,469.49 is: 11,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,189.51 : 39,284.43 = 7,469.49 : x
  2. Step 2: Convert to fraction form
    26,189.51/39,284.43 = 7,469.49/x
  3. Step 3: Cross multiply
    26,189.51x = 39,284.43 × 7,469.49
  4. Step 4: Simplify right side
    26,189.51x = 293,434,657.04
  5. Step 5: Solve for x
    x = 293,434,657.04/26,189.51
  6. Step 6: Final answer
    x = 11,204.28

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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.