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Finding the Fourth Proportional to 27,431.88, 37,857.61 and 15,494.91

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Solution

The fourth proportional to 27,431.88, 37,857.61 and 15,494.91 is: 21,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.88 : 37,857.61 = 15,494.91 : x
  2. Step 2: Convert to fraction form
    27,431.88/37,857.61 = 15,494.91/x
  3. Step 3: Cross multiply
    27,431.88x = 37,857.61 × 15,494.91
  4. Step 4: Simplify right side
    27,431.88x = 586,600,259.77
  5. Step 5: Solve for x
    x = 586,600,259.77/27,431.88
  6. Step 6: Final answer
    x = 21,383.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.