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Finding the Fourth Proportional to 27,407.16, 37,819.98 and 16,227

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Solution

The fourth proportional to 27,407.16, 37,819.98 and 16,227 is: 22,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.16 : 37,819.98 = 16,227 : x
  2. Step 2: Convert to fraction form
    27,407.16/37,819.98 = 16,227/x
  3. Step 3: Cross multiply
    27,407.16x = 37,819.98 × 16,227
  4. Step 4: Simplify right side
    27,407.16x = 613,704,815.46
  5. Step 5: Solve for x
    x = 613,704,815.46/27,407.16
  6. Step 6: Final answer
    x = 22,392.13

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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.