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Finding the Fourth Proportional to 18,533.25, 25,575.89 and 10,149.75

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Solution

The fourth proportional to 18,533.25, 25,575.89 and 10,149.75 is: 14,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.25 : 25,575.89 = 10,149.75 : x
  2. Step 2: Convert to fraction form
    18,533.25/25,575.89 = 10,149.75/x
  3. Step 3: Cross multiply
    18,533.25x = 25,575.89 × 10,149.75
  4. Step 4: Simplify right side
    18,533.25x = 259,588,838.78
  5. Step 5: Solve for x
    x = 259,588,838.78/18,533.25
  6. Step 6: Final answer
    x = 14,006.66

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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.