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Finding the Fourth Proportional to 13,004.87, 19,507.29 and 4,239.77

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Solution

The fourth proportional to 13,004.87, 19,507.29 and 4,239.77 is: 6,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.87 : 19,507.29 = 4,239.77 : x
  2. Step 2: Convert to fraction form
    13,004.87/19,507.29 = 4,239.77/x
  3. Step 3: Cross multiply
    13,004.87x = 19,507.29 × 4,239.77
  4. Step 4: Simplify right side
    13,004.87x = 82,706,422.92
  5. Step 5: Solve for x
    x = 82,706,422.92/13,004.87
  6. Step 6: Final answer
    x = 6,359.65

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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.