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Finding the Fourth Proportional to 21,822.08, 32,735.24 and 8,671.51

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Solution

The fourth proportional to 21,822.08, 32,735.24 and 8,671.51 is: 13,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.08 : 32,735.24 = 8,671.51 : x
  2. Step 2: Convert to fraction form
    21,822.08/32,735.24 = 8,671.51/x
  3. Step 3: Cross multiply
    21,822.08x = 32,735.24 × 8,671.51
  4. Step 4: Simplify right side
    21,822.08x = 283,863,900.85
  5. Step 5: Solve for x
    x = 283,863,900.85/21,822.08
  6. Step 6: Final answer
    x = 13,008.10

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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.