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Finding the Fourth Proportional to 19,671.93, 29,512.22 and 5,631.98

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Solution

The fourth proportional to 19,671.93, 29,512.22 and 5,631.98 is: 8,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.93 : 29,512.22 = 5,631.98 : x
  2. Step 2: Convert to fraction form
    19,671.93/29,512.22 = 5,631.98/x
  3. Step 3: Cross multiply
    19,671.93x = 29,512.22 × 5,631.98
  4. Step 4: Simplify right side
    19,671.93x = 166,212,057.07
  5. Step 5: Solve for x
    x = 166,212,057.07/19,671.93
  6. Step 6: Final answer
    x = 8,449.20

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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.