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Finding the Fourth Proportional to 27,208.77, 40,808.54 and 12,414.21

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Solution

The fourth proportional to 27,208.77, 40,808.54 and 12,414.21 is: 18,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.77 : 40,808.54 = 12,414.21 : x
  2. Step 2: Convert to fraction form
    27,208.77/40,808.54 = 12,414.21/x
  3. Step 3: Cross multiply
    27,208.77x = 40,808.54 × 12,414.21
  4. Step 4: Simplify right side
    27,208.77x = 506,605,723.28
  5. Step 5: Solve for x
    x = 506,605,723.28/27,208.77
  6. Step 6: Final answer
    x = 18,619.21

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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.