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Finding the Fourth Proportional to 20,144.60, 30,224.10 and 8,461.40

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Solution

The fourth proportional to 20,144.60, 30,224.10 and 8,461.40 is: 12,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.60 : 30,224.10 = 8,461.40 : x
  2. Step 2: Convert to fraction form
    20,144.60/30,224.10 = 8,461.40/x
  3. Step 3: Cross multiply
    20,144.60x = 30,224.10 × 8,461.40
  4. Step 4: Simplify right side
    20,144.60x = 255,738,199.74
  5. Step 5: Solve for x
    x = 255,738,199.74/20,144.60
  6. Step 6: Final answer
    x = 12,695.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.