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Finding the Fourth Proportional to 13,373.42, 20,053.37 and 7,828.43

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Solution

The fourth proportional to 13,373.42, 20,053.37 and 7,828.43 is: 11,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373.42 : 20,053.37 = 7,828.43 : x
  2. Step 2: Convert to fraction form
    13,373.42/20,053.37 = 7,828.43/x
  3. Step 3: Cross multiply
    13,373.42x = 20,053.37 × 7,828.43
  4. Step 4: Simplify right side
    13,373.42x = 156,986,322.61
  5. Step 5: Solve for x
    x = 156,986,322.61/13,373.42
  6. Step 6: Final answer
    x = 11,738.69

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