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Finding the Fourth Proportional to 27,305.05, 40,973.50 and 11,509.12

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Solution

The fourth proportional to 27,305.05, 40,973.50 and 11,509.12 is: 17,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,305.05 : 40,973.50 = 11,509.12 : x
  2. Step 2: Convert to fraction form
    27,305.05/40,973.50 = 11,509.12/x
  3. Step 3: Cross multiply
    27,305.05x = 40,973.50 × 11,509.12
  4. Step 4: Simplify right side
    27,305.05x = 471,568,854.66
  5. Step 5: Solve for x
    x = 471,568,854.66/27,305.05
  6. Step 6: Final answer
    x = 17,270.39

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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.