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Finding the Fourth Proportional to 13,208, 19,787.28 and 6,626.48

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Solution

The fourth proportional to 13,208, 19,787.28 and 6,626.48 is: 9,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208 : 19,787.28 = 6,626.48 : x
  2. Step 2: Convert to fraction form
    13,208/19,787.28 = 6,626.48/x
  3. Step 3: Cross multiply
    13,208x = 19,787.28 × 6,626.48
  4. Step 4: Simplify right side
    13,208x = 131,120,015.17
  5. Step 5: Solve for x
    x = 131,120,015.17/13,208
  6. Step 6: Final answer
    x = 9,927.32

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Why These Related Problems?

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