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Finding the Fourth Proportional to 20,144.61, 30,220.16 and 8,461.17

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Solution

The fourth proportional to 20,144.61, 30,220.16 and 8,461.17 is: 12,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.61 : 30,220.16 = 8,461.17 : x
  2. Step 2: Convert to fraction form
    20,144.61/30,220.16 = 8,461.17/x
  3. Step 3: Cross multiply
    20,144.61x = 30,220.16 × 8,461.17
  4. Step 4: Simplify right side
    20,144.61x = 255,697,868.88
  5. Step 5: Solve for x
    x = 255,697,868.88/20,144.61
  6. Step 6: Final answer
    x = 12,693.12

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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.