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Finding the Fourth Proportional to 13,963.74, 19,254.20 and 10,180.23

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Solution

The fourth proportional to 13,963.74, 19,254.20 and 10,180.23 is: 14,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.74 : 19,254.20 = 10,180.23 : x
  2. Step 2: Convert to fraction form
    13,963.74/19,254.20 = 10,180.23/x
  3. Step 3: Cross multiply
    13,963.74x = 19,254.20 × 10,180.23
  4. Step 4: Simplify right side
    13,963.74x = 196,012,133.56
  5. Step 5: Solve for x
    x = 196,012,133.56/13,963.74
  6. Step 6: Final answer
    x = 14,037.22

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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.