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Finding the Fourth Proportional to 27,335.72, 37,723.30 and 16,013

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Solution

The fourth proportional to 27,335.72, 37,723.30 and 16,013 is: 22,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,335.72 : 37,723.30 = 16,013 : x
  2. Step 2: Convert to fraction form
    27,335.72/37,723.30 = 16,013/x
  3. Step 3: Cross multiply
    27,335.72x = 37,723.30 × 16,013
  4. Step 4: Simplify right side
    27,335.72x = 604,063,202.90
  5. Step 5: Solve for x
    x = 604,063,202.90/27,335.72
  6. Step 6: Final answer
    x = 22,097.94

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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.