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Finding the Fourth Proportional to 27,969.30, 38,594.88 and 16,029.90

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Solution

The fourth proportional to 27,969.30, 38,594.88 and 16,029.90 is: 22,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.30 : 38,594.88 = 16,029.90 : x
  2. Step 2: Convert to fraction form
    27,969.30/38,594.88 = 16,029.90/x
  3. Step 3: Cross multiply
    27,969.30x = 38,594.88 × 16,029.90
  4. Step 4: Simplify right side
    27,969.30x = 618,672,066.91
  5. Step 5: Solve for x
    x = 618,672,066.91/27,969.30
  6. Step 6: Final answer
    x = 22,119.68

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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.