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Finding the Fourth Proportional to 14,249.50, 19,664.32 and 7,962.02

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Solution

The fourth proportional to 14,249.50, 19,664.32 and 7,962.02 is: 10,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.50 : 19,664.32 = 7,962.02 : x
  2. Step 2: Convert to fraction form
    14,249.50/19,664.32 = 7,962.02/x
  3. Step 3: Cross multiply
    14,249.50x = 19,664.32 × 7,962.02
  4. Step 4: Simplify right side
    14,249.50x = 156,567,709.13
  5. Step 5: Solve for x
    x = 156,567,709.13/14,249.50
  6. Step 6: Final answer
    x = 10,987.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.