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Finding the Fourth Proportional to 21,883.96, 32,823.21 and 6,090.18

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Solution

The fourth proportional to 21,883.96, 32,823.21 and 6,090.18 is: 9,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.96 : 32,823.21 = 6,090.18 : x
  2. Step 2: Convert to fraction form
    21,883.96/32,823.21 = 6,090.18/x
  3. Step 3: Cross multiply
    21,883.96x = 32,823.21 × 6,090.18
  4. Step 4: Simplify right side
    21,883.96x = 199,899,122.57
  5. Step 5: Solve for x
    x = 199,899,122.57/21,883.96
  6. Step 6: Final answer
    x = 9,134.50

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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.