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Finding the Fourth Proportional to 24,336.57, 33,578.70 and 14,776.22

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Solution

The fourth proportional to 24,336.57, 33,578.70 and 14,776.22 is: 20,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336.57 : 33,578.70 = 14,776.22 : x
  2. Step 2: Convert to fraction form
    24,336.57/33,578.70 = 14,776.22/x
  3. Step 3: Cross multiply
    24,336.57x = 33,578.70 × 14,776.22
  4. Step 4: Simplify right side
    24,336.57x = 496,166,258.51
  5. Step 5: Solve for x
    x = 496,166,258.51/24,336.57
  6. Step 6: Final answer
    x = 20,387.68

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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.