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Finding the Fourth Proportional to 20,295.90, 30,456 and 7,159.32

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Solution

The fourth proportional to 20,295.90, 30,456 and 7,159.32 is: 10,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.90 : 30,456 = 7,159.32 : x
  2. Step 2: Convert to fraction form
    20,295.90/30,456 = 7,159.32/x
  3. Step 3: Cross multiply
    20,295.90x = 30,456 × 7,159.32
  4. Step 4: Simplify right side
    20,295.90x = 218,044,249.92
  5. Step 5: Solve for x
    x = 218,044,249.92/20,295.90
  6. Step 6: Final answer
    x = 10,743.27

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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.