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Finding the Fourth Proportional to 18,678.10, 25,775.44 and 10,180.17

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Solution

The fourth proportional to 18,678.10, 25,775.44 and 10,180.17 is: 14,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.10 : 25,775.44 = 10,180.17 : x
  2. Step 2: Convert to fraction form
    18,678.10/25,775.44 = 10,180.17/x
  3. Step 3: Cross multiply
    18,678.10x = 25,775.44 × 10,180.17
  4. Step 4: Simplify right side
    18,678.10x = 262,398,361.02
  5. Step 5: Solve for x
    x = 262,398,361.02/18,678.10
  6. Step 6: Final answer
    x = 14,048.45

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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.