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Finding the Fourth Proportional to 20,678.72, 31,008.52 and 6,636.16

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Solution

The fourth proportional to 20,678.72, 31,008.52 and 6,636.16 is: 9,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.72 : 31,008.52 = 6,636.16 : x
  2. Step 2: Convert to fraction form
    20,678.72/31,008.52 = 6,636.16/x
  3. Step 3: Cross multiply
    20,678.72x = 31,008.52 × 6,636.16
  4. Step 4: Simplify right side
    20,678.72x = 205,777,500.08
  5. Step 5: Solve for x
    x = 205,777,500.08/20,678.72
  6. Step 6: Final answer
    x = 9,951.17

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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.