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Finding the Fourth Proportional to 14,161.83, 21,245.28 and 5,837.22

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Solution

The fourth proportional to 14,161.83, 21,245.28 and 5,837.22 is: 8,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.83 : 21,245.28 = 5,837.22 : x
  2. Step 2: Convert to fraction form
    14,161.83/21,245.28 = 5,837.22/x
  3. Step 3: Cross multiply
    14,161.83x = 21,245.28 × 5,837.22
  4. Step 4: Simplify right side
    14,161.83x = 124,013,373.32
  5. Step 5: Solve for x
    x = 124,013,373.32/14,161.83
  6. Step 6: Final answer
    x = 8,756.87

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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.