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Finding the Fourth Proportional to 18,762.88, 25,893.36 and 10,380.16

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Solution

The fourth proportional to 18,762.88, 25,893.36 and 10,380.16 is: 14,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,762.88 : 25,893.36 = 10,380.16 : x
  2. Step 2: Convert to fraction form
    18,762.88/25,893.36 = 10,380.16/x
  3. Step 3: Cross multiply
    18,762.88x = 25,893.36 × 10,380.16
  4. Step 4: Simplify right side
    18,762.88x = 268,777,219.74
  5. Step 5: Solve for x
    x = 268,777,219.74/18,762.88
  6. Step 6: Final answer
    x = 14,324.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.