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Finding the Fourth Proportional to 15,144, 22,716.21 and 4,755.75

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Solution

The fourth proportional to 15,144, 22,716.21 and 4,755.75 is: 7,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144 : 22,716.21 = 4,755.75 : x
  2. Step 2: Convert to fraction form
    15,144/22,716.21 = 4,755.75/x
  3. Step 3: Cross multiply
    15,144x = 22,716.21 × 4,755.75
  4. Step 4: Simplify right side
    15,144x = 108,032,615.71
  5. Step 5: Solve for x
    x = 108,032,615.71/15,144
  6. Step 6: Final answer
    x = 7,133.69

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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.