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Finding the Fourth Proportional to 20,225.96, 30,342.92 and 6,188.00

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Solution

The fourth proportional to 20,225.96, 30,342.92 and 6,188.00 is: 9,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,225.96 : 30,342.92 = 6,188.00 : x
  2. Step 2: Convert to fraction form
    20,225.96/30,342.92 = 6,188.00/x
  3. Step 3: Cross multiply
    20,225.96x = 30,342.92 × 6,188.00
  4. Step 4: Simplify right side
    20,225.96x = 187,761,841.11
  5. Step 5: Solve for x
    x = 187,761,841.11/20,225.96
  6. Step 6: Final answer
    x = 9,283.21

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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.