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Finding the Fourth Proportional to 13,646.72, 20,465.22 and 9,267.86

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Solution

The fourth proportional to 13,646.72, 20,465.22 and 9,267.86 is: 13,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.72 : 20,465.22 = 9,267.86 : x
  2. Step 2: Convert to fraction form
    13,646.72/20,465.22 = 9,267.86/x
  3. Step 3: Cross multiply
    13,646.72x = 20,465.22 × 9,267.86
  4. Step 4: Simplify right side
    13,646.72x = 189,668,793.83
  5. Step 5: Solve for x
    x = 189,668,793.83/13,646.72
  6. Step 6: Final answer
    x = 13,898.49

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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.