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Finding the Fourth Proportional to 20,678.58, 31,013.21 and 5,887.17

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Solution

The fourth proportional to 20,678.58, 31,013.21 and 5,887.17 is: 8,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.58 : 31,013.21 = 5,887.17 : x
  2. Step 2: Convert to fraction form
    20,678.58/31,013.21 = 5,887.17/x
  3. Step 3: Cross multiply
    20,678.58x = 31,013.21 × 5,887.17
  4. Step 4: Simplify right side
    20,678.58x = 182,580,054.23
  5. Step 5: Solve for x
    x = 182,580,054.23/20,678.58
  6. Step 6: Final answer
    x = 8,829.43

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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.