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Finding the Fourth Proportional to 14,734.17, 22,100.72 and 6,414.19

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Solution

The fourth proportional to 14,734.17, 22,100.72 and 6,414.19 is: 9,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.17 : 22,100.72 = 6,414.19 : x
  2. Step 2: Convert to fraction form
    14,734.17/22,100.72 = 6,414.19/x
  3. Step 3: Cross multiply
    14,734.17x = 22,100.72 × 6,414.19
  4. Step 4: Simplify right side
    14,734.17x = 141,758,217.22
  5. Step 5: Solve for x
    x = 141,758,217.22/14,734.17
  6. Step 6: Final answer
    x = 9,621.05

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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.