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Finding the Fourth Proportional to 27,013.01, 40,519.33 and 7,022.57

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Solution

The fourth proportional to 27,013.01, 40,519.33 and 7,022.57 is: 10,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013.01 : 40,519.33 = 7,022.57 : x
  2. Step 2: Convert to fraction form
    27,013.01/40,519.33 = 7,022.57/x
  3. Step 3: Cross multiply
    27,013.01x = 40,519.33 × 7,022.57
  4. Step 4: Simplify right side
    27,013.01x = 284,549,611.13
  5. Step 5: Solve for x
    x = 284,549,611.13/27,013.01
  6. Step 6: Final answer
    x = 10,533.80

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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.