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Finding the Fourth Proportional to 37,206.16, 55,809.70 and 10,911.44

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Solution

The fourth proportional to 37,206.16, 55,809.70 and 10,911.44 is: 16,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206.16 : 55,809.70 = 10,911.44 : x
  2. Step 2: Convert to fraction form
    37,206.16/55,809.70 = 10,911.44/x
  3. Step 3: Cross multiply
    37,206.16x = 55,809.70 × 10,911.44
  4. Step 4: Simplify right side
    37,206.16x = 608,964,305.21
  5. Step 5: Solve for x
    x = 608,964,305.21/37,206.16
  6. Step 6: Final answer
    x = 16,367.30

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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.