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Finding the Fourth Proportional to 21,884.40, 32,823.86 and 6,090.61

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Solution

The fourth proportional to 21,884.40, 32,823.86 and 6,090.61 is: 9,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.40 : 32,823.86 = 6,090.61 : x
  2. Step 2: Convert to fraction form
    21,884.40/32,823.86 = 6,090.61/x
  3. Step 3: Cross multiply
    21,884.40x = 32,823.86 × 6,090.61
  4. Step 4: Simplify right side
    21,884.40x = 199,917,329.95
  5. Step 5: Solve for x
    x = 199,917,329.95/21,884.40
  6. Step 6: Final answer
    x = 9,135.15

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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.