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Finding the Fourth Proportional to 27,408.63, 41,088.28 and 9,866.13

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Solution

The fourth proportional to 27,408.63, 41,088.28 and 9,866.13 is: 14,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.63 : 41,088.28 = 9,866.13 : x
  2. Step 2: Convert to fraction form
    27,408.63/41,088.28 = 9,866.13/x
  3. Step 3: Cross multiply
    27,408.63x = 41,088.28 × 9,866.13
  4. Step 4: Simplify right side
    27,408.63x = 405,382,311.96
  5. Step 5: Solve for x
    x = 405,382,311.96/27,408.63
  6. Step 6: Final answer
    x = 14,790.32

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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.