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Finding the Fourth Proportional to 13,874.37, 19,124.15 and 10,844.20

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Solution

The fourth proportional to 13,874.37, 19,124.15 and 10,844.20 is: 14,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.37 : 19,124.15 = 10,844.20 : x
  2. Step 2: Convert to fraction form
    13,874.37/19,124.15 = 10,844.20/x
  3. Step 3: Cross multiply
    13,874.37x = 19,124.15 × 10,844.20
  4. Step 4: Simplify right side
    13,874.37x = 207,386,107.43
  5. Step 5: Solve for x
    x = 207,386,107.43/13,874.37
  6. Step 6: Final answer
    x = 14,947.43

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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.