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Finding the Fourth Proportional to 27,971.37, 38,605.67 and 16,034.80

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Solution

The fourth proportional to 27,971.37, 38,605.67 and 16,034.80 is: 22,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.37 : 38,605.67 = 16,034.80 : x
  2. Step 2: Convert to fraction form
    27,971.37/38,605.67 = 16,034.80/x
  3. Step 3: Cross multiply
    27,971.37x = 38,605.67 × 16,034.80
  4. Step 4: Simplify right side
    27,971.37x = 619,034,197.32
  5. Step 5: Solve for x
    x = 619,034,197.32/27,971.37
  6. Step 6: Final answer
    x = 22,130.99

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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.