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Finding the Fourth Proportional to 20,516, 30,770.88 and 5,723.36

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Solution

The fourth proportional to 20,516, 30,770.88 and 5,723.36 is: 8,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516 : 30,770.88 = 5,723.36 : x
  2. Step 2: Convert to fraction form
    20,516/30,770.88 = 5,723.36/x
  3. Step 3: Cross multiply
    20,516x = 30,770.88 × 5,723.36
  4. Step 4: Simplify right side
    20,516x = 176,112,823.76
  5. Step 5: Solve for x
    x = 176,112,823.76/20,516
  6. Step 6: Final answer
    x = 8,584.17

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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.