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Finding the Fourth Proportional to 14,596.64, 20,143.42 and 8,223.30

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Solution

The fourth proportional to 14,596.64, 20,143.42 and 8,223.30 is: 11,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.64 : 20,143.42 = 8,223.30 : x
  2. Step 2: Convert to fraction form
    14,596.64/20,143.42 = 8,223.30/x
  3. Step 3: Cross multiply
    14,596.64x = 20,143.42 × 8,223.30
  4. Step 4: Simplify right side
    14,596.64x = 165,645,402.90
  5. Step 5: Solve for x
    x = 165,645,402.90/14,596.64
  6. Step 6: Final answer
    x = 11,348.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.