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Finding the Fourth Proportional to 14,563.50, 20,097.64 and 7,939.50

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Solution

The fourth proportional to 14,563.50, 20,097.64 and 7,939.50 is: 10,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.50 : 20,097.64 = 7,939.50 : x
  2. Step 2: Convert to fraction form
    14,563.50/20,097.64 = 7,939.50/x
  3. Step 3: Cross multiply
    14,563.50x = 20,097.64 × 7,939.50
  4. Step 4: Simplify right side
    14,563.50x = 159,565,212.78
  5. Step 5: Solve for x
    x = 159,565,212.78/14,563.50
  6. Step 6: Final answer
    x = 10,956.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.