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Finding the Fourth Proportional to 27,415.64, 41,105.10 and 9,883.10

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Solution

The fourth proportional to 27,415.64, 41,105.10 and 9,883.10 is: 14,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.64 : 41,105.10 = 9,883.10 : x
  2. Step 2: Convert to fraction form
    27,415.64/41,105.10 = 9,883.10/x
  3. Step 3: Cross multiply
    27,415.64x = 41,105.10 × 9,883.10
  4. Step 4: Simplify right side
    27,415.64x = 406,245,813.81
  5. Step 5: Solve for x
    x = 406,245,813.81/27,415.64
  6. Step 6: Final answer
    x = 14,818.03

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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.