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Finding the Fourth Proportional to 20,514.53, 30,745.07 and 9,261.51

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Solution

The fourth proportional to 20,514.53, 30,745.07 and 9,261.51 is: 13,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,514.53 : 30,745.07 = 9,261.51 : x
  2. Step 2: Convert to fraction form
    20,514.53/30,745.07 = 9,261.51/x
  3. Step 3: Cross multiply
    20,514.53x = 30,745.07 × 9,261.51
  4. Step 4: Simplify right side
    20,514.53x = 284,745,646.38
  5. Step 5: Solve for x
    x = 284,745,646.38/20,514.53
  6. Step 6: Final answer
    x = 13,880.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.