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Finding the Fourth Proportional to 14,509.44, 20,018.34 and 10,033.92

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Solution

The fourth proportional to 14,509.44, 20,018.34 and 10,033.92 is: 13,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.44 : 20,018.34 = 10,033.92 : x
  2. Step 2: Convert to fraction form
    14,509.44/20,018.34 = 10,033.92/x
  3. Step 3: Cross multiply
    14,509.44x = 20,018.34 × 10,033.92
  4. Step 4: Simplify right side
    14,509.44x = 200,862,422.09
  5. Step 5: Solve for x
    x = 200,862,422.09/14,509.44
  6. Step 6: Final answer
    x = 13,843.57

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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.