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Finding the Fourth Proportional to 12,548.16, 17,316.68 and 6,882.82

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Solution

The fourth proportional to 12,548.16, 17,316.68 and 6,882.82 is: 9,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.16 : 17,316.68 = 6,882.82 : x
  2. Step 2: Convert to fraction form
    12,548.16/17,316.68 = 6,882.82/x
  3. Step 3: Cross multiply
    12,548.16x = 17,316.68 × 6,882.82
  4. Step 4: Simplify right side
    12,548.16x = 119,187,504.85
  5. Step 5: Solve for x
    x = 119,187,504.85/12,548.16
  6. Step 6: Final answer
    x = 9,498.40

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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.