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Finding the Fourth Proportional to 15,033.71, 20,755.94 and 9,658.32

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Solution

The fourth proportional to 15,033.71, 20,755.94 and 9,658.32 is: 13,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033.71 : 20,755.94 = 9,658.32 : x
  2. Step 2: Convert to fraction form
    15,033.71/20,755.94 = 9,658.32/x
  3. Step 3: Cross multiply
    15,033.71x = 20,755.94 × 9,658.32
  4. Step 4: Simplify right side
    15,033.71x = 200,467,462.13
  5. Step 5: Solve for x
    x = 200,467,462.13/15,033.71
  6. Step 6: Final answer
    x = 13,334.53

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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.