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Finding the Fourth Proportional to 12,538.82, 17,302.64 and 6,872.66

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Solution

The fourth proportional to 12,538.82, 17,302.64 and 6,872.66 is: 9,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.82 : 17,302.64 = 6,872.66 : x
  2. Step 2: Convert to fraction form
    12,538.82/17,302.64 = 6,872.66/x
  3. Step 3: Cross multiply
    12,538.82x = 17,302.64 × 6,872.66
  4. Step 4: Simplify right side
    12,538.82x = 118,915,161.82
  5. Step 5: Solve for x
    x = 118,915,161.82/12,538.82
  6. Step 6: Final answer
    x = 9,483.76

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