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Finding the Fourth Proportional to 13,264.32, 19,896 and 5,467.28

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Solution

The fourth proportional to 13,264.32, 19,896 and 5,467.28 is: 8,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.32 : 19,896 = 5,467.28 : x
  2. Step 2: Convert to fraction form
    13,264.32/19,896 = 5,467.28/x
  3. Step 3: Cross multiply
    13,264.32x = 19,896 × 5,467.28
  4. Step 4: Simplify right side
    13,264.32x = 108,777,002.88
  5. Step 5: Solve for x
    x = 108,777,002.88/13,264.32
  6. Step 6: Final answer
    x = 8,200.72

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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.