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Finding the Fourth Proportional to 27,642.30, 38,139.57 and 16,884.42

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Solution

The fourth proportional to 27,642.30, 38,139.57 and 16,884.42 is: 23,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.30 : 38,139.57 = 16,884.42 : x
  2. Step 2: Convert to fraction form
    27,642.30/38,139.57 = 16,884.42/x
  3. Step 3: Cross multiply
    27,642.30x = 38,139.57 × 16,884.42
  4. Step 4: Simplify right side
    27,642.30x = 643,964,518.50
  5. Step 5: Solve for x
    x = 643,964,518.50/27,642.30
  6. Step 6: Final answer
    x = 23,296.34

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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.