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Finding the Fourth Proportional to 27,816.46, 41,719.70 and 7,821.15

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Solution

The fourth proportional to 27,816.46, 41,719.70 and 7,821.15 is: 11,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.46 : 41,719.70 = 7,821.15 : x
  2. Step 2: Convert to fraction form
    27,816.46/41,719.70 = 7,821.15/x
  3. Step 3: Cross multiply
    27,816.46x = 41,719.70 × 7,821.15
  4. Step 4: Simplify right side
    27,816.46x = 326,296,031.66
  5. Step 5: Solve for x
    x = 326,296,031.66/27,816.46
  6. Step 6: Final answer
    x = 11,730.32

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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.