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Finding the Fourth Proportional to 13,929.74, 20,896.72 and 5,047.16

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Solution

The fourth proportional to 13,929.74, 20,896.72 and 5,047.16 is: 7,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.74 : 20,896.72 = 5,047.16 : x
  2. Step 2: Convert to fraction form
    13,929.74/20,896.72 = 5,047.16/x
  3. Step 3: Cross multiply
    13,929.74x = 20,896.72 × 5,047.16
  4. Step 4: Simplify right side
    13,929.74x = 105,469,089.32
  5. Step 5: Solve for x
    x = 105,469,089.32/13,929.74
  6. Step 6: Final answer
    x = 7,571.50

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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.