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Finding the Fourth Proportional to 14,056.62, 19,399.14 and 7,768.86

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Solution

The fourth proportional to 14,056.62, 19,399.14 and 7,768.86 is: 10,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.62 : 19,399.14 = 7,768.86 : x
  2. Step 2: Convert to fraction form
    14,056.62/19,399.14 = 7,768.86/x
  3. Step 3: Cross multiply
    14,056.62x = 19,399.14 × 7,768.86
  4. Step 4: Simplify right side
    14,056.62x = 150,709,202.78
  5. Step 5: Solve for x
    x = 150,709,202.78/14,056.62
  6. Step 6: Final answer
    x = 10,721.58

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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.