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Finding the Fourth Proportional to 16,583.85, 22,807.26 and 13,186.71

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Solution

The fourth proportional to 16,583.85, 22,807.26 and 13,186.71 is: 18,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.85 : 22,807.26 = 13,186.71 : x
  2. Step 2: Convert to fraction form
    16,583.85/22,807.26 = 13,186.71/x
  3. Step 3: Cross multiply
    16,583.85x = 22,807.26 × 13,186.71
  4. Step 4: Simplify right side
    16,583.85x = 300,752,723.51
  5. Step 5: Solve for x
    x = 300,752,723.51/16,583.85
  6. Step 6: Final answer
    x = 18,135.28

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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.