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Finding the Fourth Proportional to 20,008.16, 30,009.16 and 6,857.52

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Solution

The fourth proportional to 20,008.16, 30,009.16 and 6,857.52 is: 10,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008.16 : 30,009.16 = 6,857.52 : x
  2. Step 2: Convert to fraction form
    20,008.16/30,009.16 = 6,857.52/x
  3. Step 3: Cross multiply
    20,008.16x = 30,009.16 × 6,857.52
  4. Step 4: Simplify right side
    20,008.16x = 205,788,414.88
  5. Step 5: Solve for x
    x = 205,788,414.88/20,008.16
  6. Step 6: Final answer
    x = 10,285.22

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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.