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Finding the Fourth Proportional to 18,134.42, 25,019.25 and 10,175.54

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Solution

The fourth proportional to 18,134.42, 25,019.25 and 10,175.54 is: 14,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134.42 : 25,019.25 = 10,175.54 : x
  2. Step 2: Convert to fraction form
    18,134.42/25,019.25 = 10,175.54/x
  3. Step 3: Cross multiply
    18,134.42x = 25,019.25 × 10,175.54
  4. Step 4: Simplify right side
    18,134.42x = 254,584,379.15
  5. Step 5: Solve for x
    x = 254,584,379.15/18,134.42
  6. Step 6: Final answer
    x = 14,038.74

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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.