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Finding the Fourth Proportional to 11,872.14, 17,796.58 and 9,655.50

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Solution

The fourth proportional to 11,872.14, 17,796.58 and 9,655.50 is: 14,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.14 : 17,796.58 = 9,655.50 : x
  2. Step 2: Convert to fraction form
    11,872.14/17,796.58 = 9,655.50/x
  3. Step 3: Cross multiply
    11,872.14x = 17,796.58 × 9,655.50
  4. Step 4: Simplify right side
    11,872.14x = 171,834,920.79
  5. Step 5: Solve for x
    x = 171,834,920.79/11,872.14
  6. Step 6: Final answer
    x = 14,473.80

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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.