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Finding the Fourth Proportional to 20,953.14, 31,409.91 and 7,796.58

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Solution

The fourth proportional to 20,953.14, 31,409.91 and 7,796.58 is: 11,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.14 : 31,409.91 = 7,796.58 : x
  2. Step 2: Convert to fraction form
    20,953.14/31,409.91 = 7,796.58/x
  3. Step 3: Cross multiply
    20,953.14x = 31,409.91 × 7,796.58
  4. Step 4: Simplify right side
    20,953.14x = 244,889,876.11
  5. Step 5: Solve for x
    x = 244,889,876.11/20,953.14
  6. Step 6: Final answer
    x = 11,687.50

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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.