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Finding the Fourth Proportional to 20,263.76, 30,409.20 and 7,116.24

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Solution

The fourth proportional to 20,263.76, 30,409.20 and 7,116.24 is: 10,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263.76 : 30,409.20 = 7,116.24 : x
  2. Step 2: Convert to fraction form
    20,263.76/30,409.20 = 7,116.24/x
  3. Step 3: Cross multiply
    20,263.76x = 30,409.20 × 7,116.24
  4. Step 4: Simplify right side
    20,263.76x = 216,399,165.41
  5. Step 5: Solve for x
    x = 216,399,165.41/20,263.76
  6. Step 6: Final answer
    x = 10,679.12

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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.