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Finding the Fourth Proportional to 14,137.53, 19,512.33 and 10,570.41

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Solution

The fourth proportional to 14,137.53, 19,512.33 and 10,570.41 is: 14,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.53 : 19,512.33 = 10,570.41 : x
  2. Step 2: Convert to fraction form
    14,137.53/19,512.33 = 10,570.41/x
  3. Step 3: Cross multiply
    14,137.53x = 19,512.33 × 10,570.41
  4. Step 4: Simplify right side
    14,137.53x = 206,253,328.16
  5. Step 5: Solve for x
    x = 206,253,328.16/14,137.53
  6. Step 6: Final answer
    x = 14,589.06

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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.