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Finding the Fourth Proportional to 13,029.81, 17,981.09 and 7,061.63

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Solution

The fourth proportional to 13,029.81, 17,981.09 and 7,061.63 is: 9,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.81 : 17,981.09 = 7,061.63 : x
  2. Step 2: Convert to fraction form
    13,029.81/17,981.09 = 7,061.63/x
  3. Step 3: Cross multiply
    13,029.81x = 17,981.09 × 7,061.63
  4. Step 4: Simplify right side
    13,029.81x = 126,975,732.33
  5. Step 5: Solve for x
    x = 126,975,732.33/13,029.81
  6. Step 6: Final answer
    x = 9,745.02

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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.