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Finding the Fourth Proportional to 27,202.85, 40,816.83 and 12,416.30

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Solution

The fourth proportional to 27,202.85, 40,816.83 and 12,416.30 is: 18,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.85 : 40,816.83 = 12,416.30 : x
  2. Step 2: Convert to fraction form
    27,202.85/40,816.83 = 12,416.30/x
  3. Step 3: Cross multiply
    27,202.85x = 40,816.83 × 12,416.30
  4. Step 4: Simplify right side
    27,202.85x = 506,794,001.87
  5. Step 5: Solve for x
    x = 506,794,001.87/27,202.85
  6. Step 6: Final answer
    x = 18,630.18

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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.