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Finding the Fourth Proportional to 20,883.50, 31,322.22 and 6,088.46

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Solution

The fourth proportional to 20,883.50, 31,322.22 and 6,088.46 is: 9,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.50 : 31,322.22 = 6,088.46 : x
  2. Step 2: Convert to fraction form
    20,883.50/31,322.22 = 6,088.46/x
  3. Step 3: Cross multiply
    20,883.50x = 31,322.22 × 6,088.46
  4. Step 4: Simplify right side
    20,883.50x = 190,704,083.58
  5. Step 5: Solve for x
    x = 190,704,083.58/20,883.50
  6. Step 6: Final answer
    x = 9,131.81

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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.