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Finding the Fourth Proportional to 18,678.72, 25,777.84 and 10,295.20

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Solution

The fourth proportional to 18,678.72, 25,777.84 and 10,295.20 is: 14,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.72 : 25,777.84 = 10,295.20 : x
  2. Step 2: Convert to fraction form
    18,678.72/25,777.84 = 10,295.20/x
  3. Step 3: Cross multiply
    18,678.72x = 25,777.84 × 10,295.20
  4. Step 4: Simplify right side
    18,678.72x = 265,388,018.37
  5. Step 5: Solve for x
    x = 265,388,018.37/18,678.72
  6. Step 6: Final answer
    x = 14,208.04

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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.