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Finding the Fourth Proportional to 19,546.77, 29,323.76 and 6,399.87

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Solution

The fourth proportional to 19,546.77, 29,323.76 and 6,399.87 is: 9,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.77 : 29,323.76 = 6,399.87 : x
  2. Step 2: Convert to fraction form
    19,546.77/29,323.76 = 6,399.87/x
  3. Step 3: Cross multiply
    19,546.77x = 29,323.76 × 6,399.87
  4. Step 4: Simplify right side
    19,546.77x = 187,668,251.91
  5. Step 5: Solve for x
    x = 187,668,251.91/19,546.77
  6. Step 6: Final answer
    x = 9,600.99

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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.