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Finding the Fourth Proportional to 13,803.21, 19,049.03 and 7,835.43

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Solution

The fourth proportional to 13,803.21, 19,049.03 and 7,835.43 is: 10,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.21 : 19,049.03 = 7,835.43 : x
  2. Step 2: Convert to fraction form
    13,803.21/19,049.03 = 7,835.43/x
  3. Step 3: Cross multiply
    13,803.21x = 19,049.03 × 7,835.43
  4. Step 4: Simplify right side
    13,803.21x = 149,257,301.96
  5. Step 5: Solve for x
    x = 149,257,301.96/13,803.21
  6. Step 6: Final answer
    x = 10,813.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.