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Finding the Fourth Proportional to 21,173.65, 31,765.72 and 14,945.87

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Solution

The fourth proportional to 21,173.65, 31,765.72 and 14,945.87 is: 22,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.65 : 31,765.72 = 14,945.87 : x
  2. Step 2: Convert to fraction form
    21,173.65/31,765.72 = 14,945.87/x
  3. Step 3: Cross multiply
    21,173.65x = 31,765.72 × 14,945.87
  4. Step 4: Simplify right side
    21,173.65x = 474,766,212.97
  5. Step 5: Solve for x
    x = 474,766,212.97/21,173.65
  6. Step 6: Final answer
    x = 22,422.50

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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.