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Finding the Fourth Proportional to 18,792.16, 25,932 and 10,408

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Solution

The fourth proportional to 18,792.16, 25,932 and 10,408 is: 14,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,792.16 : 25,932 = 10,408 : x
  2. Step 2: Convert to fraction form
    18,792.16/25,932 = 10,408/x
  3. Step 3: Cross multiply
    18,792.16x = 25,932 × 10,408
  4. Step 4: Simplify right side
    18,792.16x = 269,900,256
  5. Step 5: Solve for x
    x = 269,900,256/18,792.16
  6. Step 6: Final answer
    x = 14,362.39

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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.