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Finding the Fourth Proportional to 27,968.16, 38,597.02 and 16,033.80

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Solution

The fourth proportional to 27,968.16, 38,597.02 and 16,033.80 is: 22,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.16 : 38,597.02 = 16,033.80 : x
  2. Step 2: Convert to fraction form
    27,968.16/38,597.02 = 16,033.80/x
  3. Step 3: Cross multiply
    27,968.16x = 38,597.02 × 16,033.80
  4. Step 4: Simplify right side
    27,968.16x = 618,856,899.28
  5. Step 5: Solve for x
    x = 618,856,899.28/27,968.16
  6. Step 6: Final answer
    x = 22,127.19

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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.