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Finding the Fourth Proportional to 27,638.83, 41,464.14 and 8,919.93

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Solution

The fourth proportional to 27,638.83, 41,464.14 and 8,919.93 is: 13,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.83 : 41,464.14 = 8,919.93 : x
  2. Step 2: Convert to fraction form
    27,638.83/41,464.14 = 8,919.93/x
  3. Step 3: Cross multiply
    27,638.83x = 41,464.14 × 8,919.93
  4. Step 4: Simplify right side
    27,638.83x = 369,857,226.31
  5. Step 5: Solve for x
    x = 369,857,226.31/27,638.83
  6. Step 6: Final answer
    x = 13,381.80

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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.