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Finding the Fourth Proportional to 20,143.69, 30,225.77 and 9,048.11

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Solution

The fourth proportional to 20,143.69, 30,225.77 and 9,048.11 is: 13,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.69 : 30,225.77 = 9,048.11 : x
  2. Step 2: Convert to fraction form
    20,143.69/30,225.77 = 9,048.11/x
  3. Step 3: Cross multiply
    20,143.69x = 30,225.77 × 9,048.11
  4. Step 4: Simplify right side
    20,143.69x = 273,486,091.79
  5. Step 5: Solve for x
    x = 273,486,091.79/20,143.69
  6. Step 6: Final answer
    x = 13,576.76

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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.