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Finding the Fourth Proportional to 21,106.17, 31,661.01 and 5,523.75

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Solution

The fourth proportional to 21,106.17, 31,661.01 and 5,523.75 is: 8,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.17 : 31,661.01 = 5,523.75 : x
  2. Step 2: Convert to fraction form
    21,106.17/31,661.01 = 5,523.75/x
  3. Step 3: Cross multiply
    21,106.17x = 31,661.01 × 5,523.75
  4. Step 4: Simplify right side
    21,106.17x = 174,887,503.99
  5. Step 5: Solve for x
    x = 174,887,503.99/21,106.17
  6. Step 6: Final answer
    x = 8,286.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.