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Finding the Fourth Proportional to 13,821.37, 19,073.49 and 7,853.05

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Solution

The fourth proportional to 13,821.37, 19,073.49 and 7,853.05 is: 10,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.37 : 19,073.49 = 7,853.05 : x
  2. Step 2: Convert to fraction form
    13,821.37/19,073.49 = 7,853.05/x
  3. Step 3: Cross multiply
    13,821.37x = 19,073.49 × 7,853.05
  4. Step 4: Simplify right side
    13,821.37x = 149,785,070.64
  5. Step 5: Solve for x
    x = 149,785,070.64/13,821.37
  6. Step 6: Final answer
    x = 10,837.21

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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.