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Finding the Fourth Proportional to 15,221.93, 22,842 and 5,369.49

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Solution

The fourth proportional to 15,221.93, 22,842 and 5,369.49 is: 8,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.93 : 22,842 = 5,369.49 : x
  2. Step 2: Convert to fraction form
    15,221.93/22,842 = 5,369.49/x
  3. Step 3: Cross multiply
    15,221.93x = 22,842 × 5,369.49
  4. Step 4: Simplify right side
    15,221.93x = 122,649,890.58
  5. Step 5: Solve for x
    x = 122,649,890.58/15,221.93
  6. Step 6: Final answer
    x = 8,057.45

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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.