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Finding the Fourth Proportional to 18,132.54, 25,023.36 and 10,175.40

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Solution

The fourth proportional to 18,132.54, 25,023.36 and 10,175.40 is: 14,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132.54 : 25,023.36 = 10,175.40 : x
  2. Step 2: Convert to fraction form
    18,132.54/25,023.36 = 10,175.40/x
  3. Step 3: Cross multiply
    18,132.54x = 25,023.36 × 10,175.40
  4. Step 4: Simplify right side
    18,132.54x = 254,622,697.34
  5. Step 5: Solve for x
    x = 254,622,697.34/18,132.54
  6. Step 6: Final answer
    x = 14,042.31

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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.