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Finding the Fourth Proportional to 17,223.84, 25,833.12 and 5,535.84

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Solution

The fourth proportional to 17,223.84, 25,833.12 and 5,535.84 is: 8,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223.84 : 25,833.12 = 5,535.84 : x
  2. Step 2: Convert to fraction form
    17,223.84/25,833.12 = 5,535.84/x
  3. Step 3: Cross multiply
    17,223.84x = 25,833.12 × 5,535.84
  4. Step 4: Simplify right side
    17,223.84x = 143,008,019.02
  5. Step 5: Solve for x
    x = 143,008,019.02/17,223.84
  6. Step 6: Final answer
    x = 8,302.91

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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.