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Finding the Fourth Proportional to 21,853.98, 32,780.98 and 9,832.09

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Solution

The fourth proportional to 21,853.98, 32,780.98 and 9,832.09 is: 14,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.98 : 32,780.98 = 9,832.09 : x
  2. Step 2: Convert to fraction form
    21,853.98/32,780.98 = 9,832.09/x
  3. Step 3: Cross multiply
    21,853.98x = 32,780.98 × 9,832.09
  4. Step 4: Simplify right side
    21,853.98x = 322,305,537.45
  5. Step 5: Solve for x
    x = 322,305,537.45/21,853.98
  6. Step 6: Final answer
    x = 14,748.14

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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.