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Finding the Fourth Proportional to 13,778.80, 19,018.20 and 7,814.04

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Solution

The fourth proportional to 13,778.80, 19,018.20 and 7,814.04 is: 10,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.80 : 19,018.20 = 7,814.04 : x
  2. Step 2: Convert to fraction form
    13,778.80/19,018.20 = 7,814.04/x
  3. Step 3: Cross multiply
    13,778.80x = 19,018.20 × 7,814.04
  4. Step 4: Simplify right side
    13,778.80x = 148,608,975.53
  5. Step 5: Solve for x
    x = 148,608,975.53/13,778.80
  6. Step 6: Final answer
    x = 10,785.34

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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.