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Finding the Fourth Proportional to 27,238.30, 40,873.77 and 11,655.94

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Solution

The fourth proportional to 27,238.30, 40,873.77 and 11,655.94 is: 17,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.30 : 40,873.77 = 11,655.94 : x
  2. Step 2: Convert to fraction form
    27,238.30/40,873.77 = 11,655.94/x
  3. Step 3: Cross multiply
    27,238.30x = 40,873.77 × 11,655.94
  4. Step 4: Simplify right side
    27,238.30x = 476,422,210.69
  5. Step 5: Solve for x
    x = 476,422,210.69/27,238.30
  6. Step 6: Final answer
    x = 17,490.89

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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.