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Finding the Fourth Proportional to 14,657.12, 20,223.24 and 8,690.20

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Solution

The fourth proportional to 14,657.12, 20,223.24 and 8,690.20 is: 11,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.12 : 20,223.24 = 8,690.20 : x
  2. Step 2: Convert to fraction form
    14,657.12/20,223.24 = 8,690.20/x
  3. Step 3: Cross multiply
    14,657.12x = 20,223.24 × 8,690.20
  4. Step 4: Simplify right side
    14,657.12x = 175,744,000.25
  5. Step 5: Solve for x
    x = 175,744,000.25/14,657.12
  6. Step 6: Final answer
    x = 11,990.35

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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.