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Finding the Fourth Proportional to 14,728.50, 22,097.61 and 5,958.63

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Solution

The fourth proportional to 14,728.50, 22,097.61 and 5,958.63 is: 8,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.50 : 22,097.61 = 5,958.63 : x
  2. Step 2: Convert to fraction form
    14,728.50/22,097.61 = 5,958.63/x
  3. Step 3: Cross multiply
    14,728.50x = 22,097.61 × 5,958.63
  4. Step 4: Simplify right side
    14,728.50x = 131,671,481.87
  5. Step 5: Solve for x
    x = 131,671,481.87/14,728.50
  6. Step 6: Final answer
    x = 8,939.91

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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.