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Finding the Fourth Proportional to 14,766.12, 22,146 and 4,906.20

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Solution

The fourth proportional to 14,766.12, 22,146 and 4,906.20 is: 7,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.12 : 22,146 = 4,906.20 : x
  2. Step 2: Convert to fraction form
    14,766.12/22,146 = 4,906.20/x
  3. Step 3: Cross multiply
    14,766.12x = 22,146 × 4,906.20
  4. Step 4: Simplify right side
    14,766.12x = 108,652,705.20
  5. Step 5: Solve for x
    x = 108,652,705.20/14,766.12
  6. Step 6: Final answer
    x = 7,358.24

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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.