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Finding the Fourth Proportional to 27,477.66, 41,219.79 and 9,704.67

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Solution

The fourth proportional to 27,477.66, 41,219.79 and 9,704.67 is: 14,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.66 : 41,219.79 = 9,704.67 : x
  2. Step 2: Convert to fraction form
    27,477.66/41,219.79 = 9,704.67/x
  3. Step 3: Cross multiply
    27,477.66x = 41,219.79 × 9,704.67
  4. Step 4: Simplify right side
    27,477.66x = 400,024,459.42
  5. Step 5: Solve for x
    x = 400,024,459.42/27,477.66
  6. Step 6: Final answer
    x = 14,558.17

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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.