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Finding the Fourth Proportional to 10,996.86, 16,502.04 and 9,170.58

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Solution

The fourth proportional to 10,996.86, 16,502.04 and 9,170.58 is: 13,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.86 : 16,502.04 = 9,170.58 : x
  2. Step 2: Convert to fraction form
    10,996.86/16,502.04 = 9,170.58/x
  3. Step 3: Cross multiply
    10,996.86x = 16,502.04 × 9,170.58
  4. Step 4: Simplify right side
    10,996.86x = 151,333,277.98
  5. Step 5: Solve for x
    x = 151,333,277.98/10,996.86
  6. Step 6: Final answer
    x = 13,761.50

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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.