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Finding the Fourth Proportional to 27,677.80, 38,182.62 and 16,344.28

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Solution

The fourth proportional to 27,677.80, 38,182.62 and 16,344.28 is: 22,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.80 : 38,182.62 = 16,344.28 : x
  2. Step 2: Convert to fraction form
    27,677.80/38,182.62 = 16,344.28/x
  3. Step 3: Cross multiply
    27,677.80x = 38,182.62 × 16,344.28
  4. Step 4: Simplify right side
    27,677.80x = 624,067,432.41
  5. Step 5: Solve for x
    x = 624,067,432.41/27,677.80
  6. Step 6: Final answer
    x = 22,547.58

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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.