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Finding the Fourth Proportional to 16,174, 22,319.88 and 9,100.40

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Solution

The fourth proportional to 16,174, 22,319.88 and 9,100.40 is: 12,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174 : 22,319.88 = 9,100.40 : x
  2. Step 2: Convert to fraction form
    16,174/22,319.88 = 9,100.40/x
  3. Step 3: Cross multiply
    16,174x = 22,319.88 × 9,100.40
  4. Step 4: Simplify right side
    16,174x = 203,119,835.95
  5. Step 5: Solve for x
    x = 203,119,835.95/16,174
  6. Step 6: Final answer
    x = 12,558.42

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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.