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Finding the Fourth Proportional to 26,002.70, 38,998.01 and 7,284.05

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Solution

The fourth proportional to 26,002.70, 38,998.01 and 7,284.05 is: 10,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002.70 : 38,998.01 = 7,284.05 : x
  2. Step 2: Convert to fraction form
    26,002.70/38,998.01 = 7,284.05/x
  3. Step 3: Cross multiply
    26,002.70x = 38,998.01 × 7,284.05
  4. Step 4: Simplify right side
    26,002.70x = 284,063,223.33
  5. Step 5: Solve for x
    x = 284,063,223.33/26,002.70
  6. Step 6: Final answer
    x = 10,924.38

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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.