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Finding the Fourth Proportional to 21,767.10, 32,647.74 and 9,908.09

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Solution

The fourth proportional to 21,767.10, 32,647.74 and 9,908.09 is: 14,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767.10 : 32,647.74 = 9,908.09 : x
  2. Step 2: Convert to fraction form
    21,767.10/32,647.74 = 9,908.09/x
  3. Step 3: Cross multiply
    21,767.10x = 32,647.74 × 9,908.09
  4. Step 4: Simplify right side
    21,767.10x = 323,476,746.22
  5. Step 5: Solve for x
    x = 323,476,746.22/21,767.10
  6. Step 6: Final answer
    x = 14,860.81

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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.