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Finding the Fourth Proportional to 20,872, 31,303.26 and 6,077.68

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Solution

The fourth proportional to 20,872, 31,303.26 and 6,077.68 is: 9,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872 : 31,303.26 = 6,077.68 : x
  2. Step 2: Convert to fraction form
    20,872/31,303.26 = 6,077.68/x
  3. Step 3: Cross multiply
    20,872x = 31,303.26 × 6,077.68
  4. Step 4: Simplify right side
    20,872x = 190,251,197.24
  5. Step 5: Solve for x
    x = 190,251,197.24/20,872
  6. Step 6: Final answer
    x = 9,115.14

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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.