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Finding the Fourth Proportional to 27,971.87, 38,606.36 and 16,035.30

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Solution

The fourth proportional to 27,971.87, 38,606.36 and 16,035.30 is: 22,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.87 : 38,606.36 = 16,035.30 : x
  2. Step 2: Convert to fraction form
    27,971.87/38,606.36 = 16,035.30/x
  3. Step 3: Cross multiply
    27,971.87x = 38,606.36 × 16,035.30
  4. Step 4: Simplify right side
    27,971.87x = 619,064,484.33
  5. Step 5: Solve for x
    x = 619,064,484.33/27,971.87
  6. Step 6: Final answer
    x = 22,131.68

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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.