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Finding the Fourth Proportional to 15,213.16, 22,834.12 and 7,822.84

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Solution

The fourth proportional to 15,213.16, 22,834.12 and 7,822.84 is: 11,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213.16 : 22,834.12 = 7,822.84 : x
  2. Step 2: Convert to fraction form
    15,213.16/22,834.12 = 7,822.84/x
  3. Step 3: Cross multiply
    15,213.16x = 22,834.12 × 7,822.84
  4. Step 4: Simplify right side
    15,213.16x = 178,627,667.30
  5. Step 5: Solve for x
    x = 178,627,667.30/15,213.16
  6. Step 6: Final answer
    x = 11,741.65

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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.