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Finding the Fourth Proportional to 19,671.50, 29,507.27 and 6,520.79

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Solution

The fourth proportional to 19,671.50, 29,507.27 and 6,520.79 is: 9,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.50 : 29,507.27 = 6,520.79 : x
  2. Step 2: Convert to fraction form
    19,671.50/29,507.27 = 6,520.79/x
  3. Step 3: Cross multiply
    19,671.50x = 29,507.27 × 6,520.79
  4. Step 4: Simplify right side
    19,671.50x = 192,410,752.31
  5. Step 5: Solve for x
    x = 192,410,752.31/19,671.50
  6. Step 6: Final answer
    x = 9,781.19

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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.