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Finding the Fourth Proportional to 16,174.68, 22,319.34 and 9,100.98

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Solution

The fourth proportional to 16,174.68, 22,319.34 and 9,100.98 is: 12,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.68 : 22,319.34 = 9,100.98 : x
  2. Step 2: Convert to fraction form
    16,174.68/22,319.34 = 9,100.98/x
  3. Step 3: Cross multiply
    16,174.68x = 22,319.34 × 9,100.98
  4. Step 4: Simplify right side
    16,174.68x = 203,127,866.95
  5. Step 5: Solve for x
    x = 203,127,866.95/16,174.68
  6. Step 6: Final answer
    x = 12,558.39

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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.