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Finding the Fourth Proportional to 27,810.92, 38,376.66 and 16,478.44

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Solution

The fourth proportional to 27,810.92, 38,376.66 and 16,478.44 is: 22,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.92 : 38,376.66 = 16,478.44 : x
  2. Step 2: Convert to fraction form
    27,810.92/38,376.66 = 16,478.44/x
  3. Step 3: Cross multiply
    27,810.92x = 38,376.66 × 16,478.44
  4. Step 4: Simplify right side
    27,810.92x = 632,387,489.21
  5. Step 5: Solve for x
    x = 632,387,489.21/27,810.92
  6. Step 6: Final answer
    x = 22,738.82

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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.