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Finding the Fourth Proportional to 20,438.69, 30,658.05 and 7,110.77

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Solution

The fourth proportional to 20,438.69, 30,658.05 and 7,110.77 is: 10,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.69 : 30,658.05 = 7,110.77 : x
  2. Step 2: Convert to fraction form
    20,438.69/30,658.05 = 7,110.77/x
  3. Step 3: Cross multiply
    20,438.69x = 30,658.05 × 7,110.77
  4. Step 4: Simplify right side
    20,438.69x = 218,002,188.91
  5. Step 5: Solve for x
    x = 218,002,188.91/20,438.69
  6. Step 6: Final answer
    x = 10,666.16

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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.