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Finding the Fourth Proportional to 16,134.88, 22,262.16 and 9,844.96

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Solution

The fourth proportional to 16,134.88, 22,262.16 and 9,844.96 is: 13,583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.88 : 22,262.16 = 9,844.96 : x
  2. Step 2: Convert to fraction form
    16,134.88/22,262.16 = 9,844.96/x
  3. Step 3: Cross multiply
    16,134.88x = 22,262.16 × 9,844.96
  4. Step 4: Simplify right side
    16,134.88x = 219,170,074.71
  5. Step 5: Solve for x
    x = 219,170,074.71/16,134.88
  6. Step 6: Final answer
    x = 13,583.62

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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.