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Finding the Fourth Proportional to 24,976.94, 34,467.77 and 13,646.19

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Solution

The fourth proportional to 24,976.94, 34,467.77 and 13,646.19 is: 18,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976.94 : 34,467.77 = 13,646.19 : x
  2. Step 2: Convert to fraction form
    24,976.94/34,467.77 = 13,646.19/x
  3. Step 3: Cross multiply
    24,976.94x = 34,467.77 × 13,646.19
  4. Step 4: Simplify right side
    24,976.94x = 470,353,591.98
  5. Step 5: Solve for x
    x = 470,353,591.98/24,976.94
  6. Step 6: Final answer
    x = 18,831.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.