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Finding the Fourth Proportional to 16,562.98, 22,848.86 and 9,843.84

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Solution

The fourth proportional to 16,562.98, 22,848.86 and 9,843.84 is: 13,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.98 : 22,848.86 = 9,843.84 : x
  2. Step 2: Convert to fraction form
    16,562.98/22,848.86 = 9,843.84/x
  3. Step 3: Cross multiply
    16,562.98x = 22,848.86 × 9,843.84
  4. Step 4: Simplify right side
    16,562.98x = 224,920,546.63
  5. Step 5: Solve for x
    x = 224,920,546.63/16,562.98
  6. Step 6: Final answer
    x = 13,579.71

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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.