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Finding the Fourth Proportional to 16,805.72, 23,188.38 and 9,731.72

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Solution

The fourth proportional to 16,805.72, 23,188.38 and 9,731.72 is: 13,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.72 : 23,188.38 = 9,731.72 : x
  2. Step 2: Convert to fraction form
    16,805.72/23,188.38 = 9,731.72/x
  3. Step 3: Cross multiply
    16,805.72x = 23,188.38 × 9,731.72
  4. Step 4: Simplify right side
    16,805.72x = 225,662,821.41
  5. Step 5: Solve for x
    x = 225,662,821.41/16,805.72
  6. Step 6: Final answer
    x = 13,427.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.