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Finding the Fourth Proportional to 20,199.29, 30,306.23 and 7,053.60

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Solution

The fourth proportional to 20,199.29, 30,306.23 and 7,053.60 is: 10,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.29 : 30,306.23 = 7,053.60 : x
  2. Step 2: Convert to fraction form
    20,199.29/30,306.23 = 7,053.60/x
  3. Step 3: Cross multiply
    20,199.29x = 30,306.23 × 7,053.60
  4. Step 4: Simplify right side
    20,199.29x = 213,767,988.66
  5. Step 5: Solve for x
    x = 213,767,988.66/20,199.29
  6. Step 6: Final answer
    x = 10,582.95

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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.