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Finding the Fourth Proportional to 12,514.34, 17,271.73 and 7,136.79

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Solution

The fourth proportional to 12,514.34, 17,271.73 and 7,136.79 is: 9,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.34 : 17,271.73 = 7,136.79 : x
  2. Step 2: Convert to fraction form
    12,514.34/17,271.73 = 7,136.79/x
  3. Step 3: Cross multiply
    12,514.34x = 17,271.73 × 7,136.79
  4. Step 4: Simplify right side
    12,514.34x = 123,264,709.95
  5. Step 5: Solve for x
    x = 123,264,709.95/12,514.34
  6. Step 6: Final answer
    x = 9,849.88

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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.