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Finding the Fourth Proportional to 27,602.12, 41,403.02 and 16,511.92

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Solution

The fourth proportional to 27,602.12, 41,403.02 and 16,511.92 is: 24,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.12 : 41,403.02 = 16,511.92 : x
  2. Step 2: Convert to fraction form
    27,602.12/41,403.02 = 16,511.92/x
  3. Step 3: Cross multiply
    27,602.12x = 41,403.02 × 16,511.92
  4. Step 4: Simplify right side
    27,602.12x = 683,643,167.93
  5. Step 5: Solve for x
    x = 683,643,167.93/27,602.12
  6. Step 6: Final answer
    x = 24,767.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.