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Finding the Fourth Proportional to 18,550.04, 25,599.38 and 10,166

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Solution

The fourth proportional to 18,550.04, 25,599.38 and 10,166 is: 14,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,550.04 : 25,599.38 = 10,166 : x
  2. Step 2: Convert to fraction form
    18,550.04/25,599.38 = 10,166/x
  3. Step 3: Cross multiply
    18,550.04x = 25,599.38 × 10,166
  4. Step 4: Simplify right side
    18,550.04x = 260,243,297.08
  5. Step 5: Solve for x
    x = 260,243,297.08/18,550.04
  6. Step 6: Final answer
    x = 14,029.26

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Why These Related Problems?

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