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Finding the Fourth Proportional to 20,200.84, 30,301.47 and 7,053.25

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Solution

The fourth proportional to 20,200.84, 30,301.47 and 7,053.25 is: 10,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.84 : 30,301.47 = 7,053.25 : x
  2. Step 2: Convert to fraction form
    20,200.84/30,301.47 = 7,053.25/x
  3. Step 3: Cross multiply
    20,200.84x = 30,301.47 × 7,053.25
  4. Step 4: Simplify right side
    20,200.84x = 213,723,843.28
  5. Step 5: Solve for x
    x = 213,723,843.28/20,200.84
  6. Step 6: Final answer
    x = 10,579.95

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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.