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Finding the Fourth Proportional to 17,728.29, 26,567.33 and 9,834.26

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Solution

The fourth proportional to 17,728.29, 26,567.33 and 9,834.26 is: 14,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.29 : 26,567.33 = 9,834.26 : x
  2. Step 2: Convert to fraction form
    17,728.29/26,567.33 = 9,834.26/x
  3. Step 3: Cross multiply
    17,728.29x = 26,567.33 × 9,834.26
  4. Step 4: Simplify right side
    17,728.29x = 261,269,848.72
  5. Step 5: Solve for x
    x = 261,269,848.72/17,728.29
  6. Step 6: Final answer
    x = 14,737.45

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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.