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Finding the Fourth Proportional to 27,202.16, 40,815.81 and 12,415.61

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Solution

The fourth proportional to 27,202.16, 40,815.81 and 12,415.61 is: 18,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.16 : 40,815.81 = 12,415.61 : x
  2. Step 2: Convert to fraction form
    27,202.16/40,815.81 = 12,415.61/x
  3. Step 3: Cross multiply
    27,202.16x = 40,815.81 × 12,415.61
  4. Step 4: Simplify right side
    27,202.16x = 506,753,178.79
  5. Step 5: Solve for x
    x = 506,753,178.79/27,202.16
  6. Step 6: Final answer
    x = 18,629.15

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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.