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Finding the Fourth Proportional to 16,213.24, 22,374.72 and 9,841

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Solution

The fourth proportional to 16,213.24, 22,374.72 and 9,841 is: 13,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.24 : 22,374.72 = 9,841 : x
  2. Step 2: Convert to fraction form
    16,213.24/22,374.72 = 9,841/x
  3. Step 3: Cross multiply
    16,213.24x = 22,374.72 × 9,841
  4. Step 4: Simplify right side
    16,213.24x = 220,189,619.52
  5. Step 5: Solve for x
    x = 220,189,619.52/16,213.24
  6. Step 6: Final answer
    x = 13,580.85

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