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Finding the Fourth Proportional to 13,373.67, 20,054.43 and 7,828.41

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Solution

The fourth proportional to 13,373.67, 20,054.43 and 7,828.41 is: 11,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373.67 : 20,054.43 = 7,828.41 : x
  2. Step 2: Convert to fraction form
    13,373.67/20,054.43 = 7,828.41/x
  3. Step 3: Cross multiply
    13,373.67x = 20,054.43 × 7,828.41
  4. Step 4: Simplify right side
    13,373.67x = 156,994,300.36
  5. Step 5: Solve for x
    x = 156,994,300.36/13,373.67
  6. Step 6: Final answer
    x = 11,739.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.