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Finding the Fourth Proportional to 14,264.88, 21,400 and 5,499.04

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Solution

The fourth proportional to 14,264.88, 21,400 and 5,499.04 is: 8,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.88 : 21,400 = 5,499.04 : x
  2. Step 2: Convert to fraction form
    14,264.88/21,400 = 5,499.04/x
  3. Step 3: Cross multiply
    14,264.88x = 21,400 × 5,499.04
  4. Step 4: Simplify right side
    14,264.88x = 117,679,456
  5. Step 5: Solve for x
    x = 117,679,456/14,264.88
  6. Step 6: Final answer
    x = 8,249.59

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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.