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Finding the Fourth Proportional to 20,200.25, 30,302.91 and 6,875.48

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Solution

The fourth proportional to 20,200.25, 30,302.91 and 6,875.48 is: 10,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.25 : 30,302.91 = 6,875.48 : x
  2. Step 2: Convert to fraction form
    20,200.25/30,302.91 = 6,875.48/x
  3. Step 3: Cross multiply
    20,200.25x = 30,302.91 × 6,875.48
  4. Step 4: Simplify right side
    20,200.25x = 208,347,127.40
  5. Step 5: Solve for x
    x = 208,347,127.40/20,200.25
  6. Step 6: Final answer
    x = 10,314.09

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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.