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Finding the Fourth Proportional to 13,804.22, 19,049.41 and 7,671.90

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Solution

The fourth proportional to 13,804.22, 19,049.41 and 7,671.90 is: 10,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.22 : 19,049.41 = 7,671.90 : x
  2. Step 2: Convert to fraction form
    13,804.22/19,049.41 = 7,671.90/x
  3. Step 3: Cross multiply
    13,804.22x = 19,049.41 × 7,671.90
  4. Step 4: Simplify right side
    13,804.22x = 146,145,228.03
  5. Step 5: Solve for x
    x = 146,145,228.03/13,804.22
  6. Step 6: Final answer
    x = 10,586.99

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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.