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Finding the Fourth Proportional to 18,792, 25,933.77 and 10,408.50

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Solution

The fourth proportional to 18,792, 25,933.77 and 10,408.50 is: 14,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,792 : 25,933.77 = 10,408.50 : x
  2. Step 2: Convert to fraction form
    18,792/25,933.77 = 10,408.50/x
  3. Step 3: Cross multiply
    18,792x = 25,933.77 × 10,408.50
  4. Step 4: Simplify right side
    18,792x = 269,931,645.05
  5. Step 5: Solve for x
    x = 269,931,645.05/18,792
  6. Step 6: Final answer
    x = 14,364.18

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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.