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Finding the Fourth Proportional to 20,618.30, 30,929.12 and 5,827.34

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Solution

The fourth proportional to 20,618.30, 30,929.12 and 5,827.34 is: 8,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,618.30 : 30,929.12 = 5,827.34 : x
  2. Step 2: Convert to fraction form
    20,618.30/30,929.12 = 5,827.34/x
  3. Step 3: Cross multiply
    20,618.30x = 30,929.12 × 5,827.34
  4. Step 4: Simplify right side
    20,618.30x = 180,234,498.14
  5. Step 5: Solve for x
    x = 180,234,498.14/20,618.30
  6. Step 6: Final answer
    x = 8,741.48

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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.