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Finding the Fourth Proportional to 16,768.16, 25,155.96 and 6,380

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Solution

The fourth proportional to 16,768.16, 25,155.96 and 6,380 is: 9,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.16 : 25,155.96 = 6,380 : x
  2. Step 2: Convert to fraction form
    16,768.16/25,155.96 = 6,380/x
  3. Step 3: Cross multiply
    16,768.16x = 25,155.96 × 6,380
  4. Step 4: Simplify right side
    16,768.16x = 160,495,024.80
  5. Step 5: Solve for x
    x = 160,495,024.80/16,768.16
  6. Step 6: Final answer
    x = 9,571.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.