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Finding the Fourth Proportional to 13,384.09, 20,080.16 and 5,066.65

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Solution

The fourth proportional to 13,384.09, 20,080.16 and 5,066.65 is: 7,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.09 : 20,080.16 = 5,066.65 : x
  2. Step 2: Convert to fraction form
    13,384.09/20,080.16 = 5,066.65/x
  3. Step 3: Cross multiply
    13,384.09x = 20,080.16 × 5,066.65
  4. Step 4: Simplify right side
    13,384.09x = 101,739,142.66
  5. Step 5: Solve for x
    x = 101,739,142.66/13,384.09
  6. Step 6: Final answer
    x = 7,601.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.