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Finding the Fourth Proportional to 13,012.99, 17,952.01 and 8,294.34

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Solution

The fourth proportional to 13,012.99, 17,952.01 and 8,294.34 is: 11,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.99 : 17,952.01 = 8,294.34 : x
  2. Step 2: Convert to fraction form
    13,012.99/17,952.01 = 8,294.34/x
  3. Step 3: Cross multiply
    13,012.99x = 17,952.01 × 8,294.34
  4. Step 4: Simplify right side
    13,012.99x = 148,900,074.62
  5. Step 5: Solve for x
    x = 148,900,074.62/13,012.99
  6. Step 6: Final answer
    x = 11,442.42

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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.