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Finding the Fourth Proportional to 27,836.16, 38,414.05 and 16,511.34

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Solution

The fourth proportional to 27,836.16, 38,414.05 and 16,511.34 is: 22,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.16 : 38,414.05 = 16,511.34 : x
  2. Step 2: Convert to fraction form
    27,836.16/38,414.05 = 16,511.34/x
  3. Step 3: Cross multiply
    27,836.16x = 38,414.05 × 16,511.34
  4. Step 4: Simplify right side
    27,836.16x = 634,267,543.10
  5. Step 5: Solve for x
    x = 634,267,543.10/27,836.16
  6. Step 6: Final answer
    x = 22,785.74

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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.