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Finding the Fourth Proportional to 16,221, 24,331.50 and 4,534.73

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Solution

The fourth proportional to 16,221, 24,331.50 and 4,534.73 is: 6,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221 : 24,331.50 = 4,534.73 : x
  2. Step 2: Convert to fraction form
    16,221/24,331.50 = 4,534.73/x
  3. Step 3: Cross multiply
    16,221x = 24,331.50 × 4,534.73
  4. Step 4: Simplify right side
    16,221x = 110,336,661.34
  5. Step 5: Solve for x
    x = 110,336,661.34/16,221
  6. Step 6: Final answer
    x = 6,802.09

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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.