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Finding the Fourth Proportional to 39,794.94, 59,690.81 and 13,499.74

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Solution

The fourth proportional to 39,794.94, 59,690.81 and 13,499.74 is: 20,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,794.94 : 59,690.81 = 13,499.74 : x
  2. Step 2: Convert to fraction form
    39,794.94/59,690.81 = 13,499.74/x
  3. Step 3: Cross multiply
    39,794.94x = 59,690.81 × 13,499.74
  4. Step 4: Simplify right side
    39,794.94x = 805,810,415.39
  5. Step 5: Solve for x
    x = 805,810,415.39/39,794.94
  6. Step 6: Final answer
    x = 20,249.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.