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Finding the Fourth Proportional to 21,372.14, 32,067.43 and 11,509.45

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Solution

The fourth proportional to 21,372.14, 32,067.43 and 11,509.45 is: 17,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,372.14 : 32,067.43 = 11,509.45 : x
  2. Step 2: Convert to fraction form
    21,372.14/32,067.43 = 11,509.45/x
  3. Step 3: Cross multiply
    21,372.14x = 32,067.43 × 11,509.45
  4. Step 4: Simplify right side
    21,372.14x = 369,078,373.27
  5. Step 5: Solve for x
    x = 369,078,373.27/21,372.14
  6. Step 6: Final answer
    x = 17,269.14

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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.