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Finding the Fourth Proportional to 13,113.27, 18,095.75 and 7,144.99

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Solution

The fourth proportional to 13,113.27, 18,095.75 and 7,144.99 is: 9,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.27 : 18,095.75 = 7,144.99 : x
  2. Step 2: Convert to fraction form
    13,113.27/18,095.75 = 7,144.99/x
  3. Step 3: Cross multiply
    13,113.27x = 18,095.75 × 7,144.99
  4. Step 4: Simplify right side
    13,113.27x = 129,293,952.79
  5. Step 5: Solve for x
    x = 129,293,952.79/13,113.27
  6. Step 6: Final answer
    x = 9,859.78

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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.