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Finding the Fourth Proportional to 14,469.13, 21,702.23 and 9,819.02

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Solution

The fourth proportional to 14,469.13, 21,702.23 and 9,819.02 is: 14,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.13 : 21,702.23 = 9,819.02 : x
  2. Step 2: Convert to fraction form
    14,469.13/21,702.23 = 9,819.02/x
  3. Step 3: Cross multiply
    14,469.13x = 21,702.23 × 9,819.02
  4. Step 4: Simplify right side
    14,469.13x = 213,094,672.40
  5. Step 5: Solve for x
    x = 213,094,672.40/14,469.13
  6. Step 6: Final answer
    x = 14,727.54

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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.