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Finding the Fourth Proportional to 15,821.25, 21,834.91 and 9,107.16

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Solution

The fourth proportional to 15,821.25, 21,834.91 and 9,107.16 is: 12,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.25 : 21,834.91 = 9,107.16 : x
  2. Step 2: Convert to fraction form
    15,821.25/21,834.91 = 9,107.16/x
  3. Step 3: Cross multiply
    15,821.25x = 21,834.91 × 9,107.16
  4. Step 4: Simplify right side
    15,821.25x = 198,854,018.96
  5. Step 5: Solve for x
    x = 198,854,018.96/15,821.25
  6. Step 6: Final answer
    x = 12,568.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.