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Finding the Fourth Proportional to 20,346.52, 30,467.94 and 9,931

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Solution

The fourth proportional to 20,346.52, 30,467.94 and 9,931 is: 14,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346.52 : 30,467.94 = 9,931 : x
  2. Step 2: Convert to fraction form
    20,346.52/30,467.94 = 9,931/x
  3. Step 3: Cross multiply
    20,346.52x = 30,467.94 × 9,931
  4. Step 4: Simplify right side
    20,346.52x = 302,577,112.14
  5. Step 5: Solve for x
    x = 302,577,112.14/20,346.52
  6. Step 6: Final answer
    x = 14,871.20

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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.