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Finding the Fourth Proportional to 27,818.98, 38,378.01 and 16,634.50

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Solution

The fourth proportional to 27,818.98, 38,378.01 and 16,634.50 is: 22,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.98 : 38,378.01 = 16,634.50 : x
  2. Step 2: Convert to fraction form
    27,818.98/38,378.01 = 16,634.50/x
  3. Step 3: Cross multiply
    27,818.98x = 38,378.01 × 16,634.50
  4. Step 4: Simplify right side
    27,818.98x = 638,399,007.35
  5. Step 5: Solve for x
    x = 638,399,007.35/27,818.98
  6. Step 6: Final answer
    x = 22,948.33

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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.