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Finding the Fourth Proportional to 20,171.68, 30,257.24 and 9,070.50

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Solution

The fourth proportional to 20,171.68, 30,257.24 and 9,070.50 is: 13,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.68 : 30,257.24 = 9,070.50 : x
  2. Step 2: Convert to fraction form
    20,171.68/30,257.24 = 9,070.50/x
  3. Step 3: Cross multiply
    20,171.68x = 30,257.24 × 9,070.50
  4. Step 4: Simplify right side
    20,171.68x = 274,448,250.07
  5. Step 5: Solve for x
    x = 274,448,250.07/20,171.68
  6. Step 6: Final answer
    x = 13,605.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.