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Finding the Fourth Proportional to 19,734.64, 29,584.68 and 7,414

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Solution

The fourth proportional to 19,734.64, 29,584.68 and 7,414 is: 11,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.64 : 29,584.68 = 7,414 : x
  2. Step 2: Convert to fraction form
    19,734.64/29,584.68 = 7,414/x
  3. Step 3: Cross multiply
    19,734.64x = 29,584.68 × 7,414
  4. Step 4: Simplify right side
    19,734.64x = 219,340,817.52
  5. Step 5: Solve for x
    x = 219,340,817.52/19,734.64
  6. Step 6: Final answer
    x = 11,114.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.