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Finding the Fourth Proportional to 20,017.34, 30,015.82 and 6,685.54

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Solution

The fourth proportional to 20,017.34, 30,015.82 and 6,685.54 is: 10,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.34 : 30,015.82 = 6,685.54 : x
  2. Step 2: Convert to fraction form
    20,017.34/30,015.82 = 6,685.54/x
  3. Step 3: Cross multiply
    20,017.34x = 30,015.82 × 6,685.54
  4. Step 4: Simplify right side
    20,017.34x = 200,671,965.24
  5. Step 5: Solve for x
    x = 200,671,965.24/20,017.34
  6. Step 6: Final answer
    x = 10,024.91

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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.