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Finding the Fourth Proportional to 13,004.64, 19,499.67 and 4,234.77

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Solution

The fourth proportional to 13,004.64, 19,499.67 and 4,234.77 is: 6,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.64 : 19,499.67 = 4,234.77 : x
  2. Step 2: Convert to fraction form
    13,004.64/19,499.67 = 4,234.77/x
  3. Step 3: Cross multiply
    13,004.64x = 19,499.67 × 4,234.77
  4. Step 4: Simplify right side
    13,004.64x = 82,576,617.53
  5. Step 5: Solve for x
    x = 82,576,617.53/13,004.64
  6. Step 6: Final answer
    x = 6,349.78

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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.