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Finding the Fourth Proportional to 27,209.77, 40,810.03 and 12,415.21

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Solution

The fourth proportional to 27,209.77, 40,810.03 and 12,415.21 is: 18,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.77 : 40,810.03 = 12,415.21 : x
  2. Step 2: Convert to fraction form
    27,209.77/40,810.03 = 12,415.21/x
  3. Step 3: Cross multiply
    27,209.77x = 40,810.03 × 12,415.21
  4. Step 4: Simplify right side
    27,209.77x = 506,665,092.56
  5. Step 5: Solve for x
    x = 506,665,092.56/27,209.77
  6. Step 6: Final answer
    x = 18,620.70

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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.