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Finding the Fourth Proportional to 16,174.90, 22,311.48 and 9,876.34

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Solution

The fourth proportional to 16,174.90, 22,311.48 and 9,876.34 is: 13,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.90 : 22,311.48 = 9,876.34 : x
  2. Step 2: Convert to fraction form
    16,174.90/22,311.48 = 9,876.34/x
  3. Step 3: Cross multiply
    16,174.90x = 22,311.48 × 9,876.34
  4. Step 4: Simplify right side
    16,174.90x = 220,355,762.38
  5. Step 5: Solve for x
    x = 220,355,762.38/16,174.90
  6. Step 6: Final answer
    x = 13,623.32

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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.