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Finding the Fourth Proportional to 14,781, 22,171.50 and 14,409.24

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Solution

The fourth proportional to 14,781, 22,171.50 and 14,409.24 is: 21,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781 : 22,171.50 = 14,409.24 : x
  2. Step 2: Convert to fraction form
    14,781/22,171.50 = 14,409.24/x
  3. Step 3: Cross multiply
    14,781x = 22,171.50 × 14,409.24
  4. Step 4: Simplify right side
    14,781x = 319,474,464.66
  5. Step 5: Solve for x
    x = 319,474,464.66/14,781
  6. Step 6: Final answer
    x = 21,613.86

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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.