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Finding the Fourth Proportional to 20,562.30, 30,834.45 and 9,465.30

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Solution

The fourth proportional to 20,562.30, 30,834.45 and 9,465.30 is: 14,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.30 : 30,834.45 = 9,465.30 : x
  2. Step 2: Convert to fraction form
    20,562.30/30,834.45 = 9,465.30/x
  3. Step 3: Cross multiply
    20,562.30x = 30,834.45 × 9,465.30
  4. Step 4: Simplify right side
    20,562.30x = 291,857,319.59
  5. Step 5: Solve for x
    x = 291,857,319.59/20,562.30
  6. Step 6: Final answer
    x = 14,193.81

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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.