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Finding the Fourth Proportional to 14,056.36, 19,398 and 7,768.78

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Solution

The fourth proportional to 14,056.36, 19,398 and 7,768.78 is: 10,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.36 : 19,398 = 7,768.78 : x
  2. Step 2: Convert to fraction form
    14,056.36/19,398 = 7,768.78/x
  3. Step 3: Cross multiply
    14,056.36x = 19,398 × 7,768.78
  4. Step 4: Simplify right side
    14,056.36x = 150,698,794.44
  5. Step 5: Solve for x
    x = 150,698,794.44/14,056.36
  6. Step 6: Final answer
    x = 10,721.04

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