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Finding the Fourth Proportional to 20,153.82, 30,239.44 and 7,677.59

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Solution

The fourth proportional to 20,153.82, 30,239.44 and 7,677.59 is: 11,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.82 : 30,239.44 = 7,677.59 : x
  2. Step 2: Convert to fraction form
    20,153.82/30,239.44 = 7,677.59/x
  3. Step 3: Cross multiply
    20,153.82x = 30,239.44 × 7,677.59
  4. Step 4: Simplify right side
    20,153.82x = 232,165,983.76
  5. Step 5: Solve for x
    x = 232,165,983.76/20,153.82
  6. Step 6: Final answer
    x = 11,519.70

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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.