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Finding the Fourth Proportional to 15,163.84, 22,748.82 and 4,773.16

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Solution

The fourth proportional to 15,163.84, 22,748.82 and 4,773.16 is: 7,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163.84 : 22,748.82 = 4,773.16 : x
  2. Step 2: Convert to fraction form
    15,163.84/22,748.82 = 4,773.16/x
  3. Step 3: Cross multiply
    15,163.84x = 22,748.82 × 4,773.16
  4. Step 4: Simplify right side
    15,163.84x = 108,583,757.67
  5. Step 5: Solve for x
    x = 108,583,757.67/15,163.84
  6. Step 6: Final answer
    x = 7,160.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.