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Finding the Fourth Proportional to 20,146.61, 30,223.16 and 8,463.17

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Solution

The fourth proportional to 20,146.61, 30,223.16 and 8,463.17 is: 12,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.61 : 30,223.16 = 8,463.17 : x
  2. Step 2: Convert to fraction form
    20,146.61/30,223.16 = 8,463.17/x
  3. Step 3: Cross multiply
    20,146.61x = 30,223.16 × 8,463.17
  4. Step 4: Simplify right side
    20,146.61x = 255,783,698.70
  5. Step 5: Solve for x
    x = 255,783,698.70/20,146.61
  6. Step 6: Final answer
    x = 12,696.12

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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.