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Finding the Fourth Proportional to 13,267.76, 19,904.12 and 5,472.32

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Solution

The fourth proportional to 13,267.76, 19,904.12 and 5,472.32 is: 8,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.76 : 19,904.12 = 5,472.32 : x
  2. Step 2: Convert to fraction form
    13,267.76/19,904.12 = 5,472.32/x
  3. Step 3: Cross multiply
    13,267.76x = 19,904.12 × 5,472.32
  4. Step 4: Simplify right side
    13,267.76x = 108,921,713.96
  5. Step 5: Solve for x
    x = 108,921,713.96/13,267.76
  6. Step 6: Final answer
    x = 8,209.50

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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.