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Finding the Fourth Proportional to 13,786.58, 19,027.45 and 7,737.46

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Solution

The fourth proportional to 13,786.58, 19,027.45 and 7,737.46 is: 10,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.58 : 19,027.45 = 7,737.46 : x
  2. Step 2: Convert to fraction form
    13,786.58/19,027.45 = 7,737.46/x
  3. Step 3: Cross multiply
    13,786.58x = 19,027.45 × 7,737.46
  4. Step 4: Simplify right side
    13,786.58x = 147,224,180.65
  5. Step 5: Solve for x
    x = 147,224,180.65/13,786.58
  6. Step 6: Final answer
    x = 10,678.81

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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.