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Finding the Fourth Proportional to 12,944.16, 19,414.08 and 4,622.40

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Solution

The fourth proportional to 12,944.16, 19,414.08 and 4,622.40 is: 6,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.16 : 19,414.08 = 4,622.40 : x
  2. Step 2: Convert to fraction form
    12,944.16/19,414.08 = 4,622.40/x
  3. Step 3: Cross multiply
    12,944.16x = 19,414.08 × 4,622.40
  4. Step 4: Simplify right side
    12,944.16x = 89,739,643.39
  5. Step 5: Solve for x
    x = 89,739,643.39/12,944.16
  6. Step 6: Final answer
    x = 6,932.83

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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.