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Finding the Fourth Proportional to 12,538.01, 17,302.67 and 6,872.38

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Solution

The fourth proportional to 12,538.01, 17,302.67 and 6,872.38 is: 9,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.01 : 17,302.67 = 6,872.38 : x
  2. Step 2: Convert to fraction form
    12,538.01/17,302.67 = 6,872.38/x
  3. Step 3: Cross multiply
    12,538.01x = 17,302.67 × 6,872.38
  4. Step 4: Simplify right side
    12,538.01x = 118,910,523.25
  5. Step 5: Solve for x
    x = 118,910,523.25/12,538.01
  6. Step 6: Final answer
    x = 9,484.00

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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.