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Finding the Fourth Proportional to 27,178.13, 40,768.57 and 9,409.67

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Solution

The fourth proportional to 27,178.13, 40,768.57 and 9,409.67 is: 14,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.13 : 40,768.57 = 9,409.67 : x
  2. Step 2: Convert to fraction form
    27,178.13/40,768.57 = 9,409.67/x
  3. Step 3: Cross multiply
    27,178.13x = 40,768.57 × 9,409.67
  4. Step 4: Simplify right side
    27,178.13x = 383,618,697.94
  5. Step 5: Solve for x
    x = 383,618,697.94/27,178.13
  6. Step 6: Final answer
    x = 14,114.98

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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.