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Finding the Fourth Proportional to 23,738, 32,757.90 and 13,127.72

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Solution

The fourth proportional to 23,738, 32,757.90 and 13,127.72 is: 18,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738 : 32,757.90 = 13,127.72 : x
  2. Step 2: Convert to fraction form
    23,738/32,757.90 = 13,127.72/x
  3. Step 3: Cross multiply
    23,738x = 32,757.90 × 13,127.72
  4. Step 4: Simplify right side
    23,738x = 430,036,538.99
  5. Step 5: Solve for x
    x = 430,036,538.99/23,738
  6. Step 6: Final answer
    x = 18,115.95

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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.