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Finding the Fourth Proportional to 15,822.16, 21,834.30 and 8,749.24

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Solution

The fourth proportional to 15,822.16, 21,834.30 and 8,749.24 is: 12,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.16 : 21,834.30 = 8,749.24 : x
  2. Step 2: Convert to fraction form
    15,822.16/21,834.30 = 8,749.24/x
  3. Step 3: Cross multiply
    15,822.16x = 21,834.30 × 8,749.24
  4. Step 4: Simplify right side
    15,822.16x = 191,033,530.93
  5. Step 5: Solve for x
    x = 191,033,530.93/15,822.16
  6. Step 6: Final answer
    x = 12,073.80

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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.