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Finding the Fourth Proportional to 18,137.83, 25,032.64 and 10,180.49

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Solution

The fourth proportional to 18,137.83, 25,032.64 and 10,180.49 is: 14,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.83 : 25,032.64 = 10,180.49 : x
  2. Step 2: Convert to fraction form
    18,137.83/25,032.64 = 10,180.49/x
  3. Step 3: Cross multiply
    18,137.83x = 25,032.64 × 10,180.49
  4. Step 4: Simplify right side
    18,137.83x = 254,844,416.03
  5. Step 5: Solve for x
    x = 254,844,416.03/18,137.83
  6. Step 6: Final answer
    x = 14,050.44

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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.