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Finding the Fourth Proportional to 13,786.32, 19,025.12 and 7,817.99

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Solution

The fourth proportional to 13,786.32, 19,025.12 and 7,817.99 is: 10,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.32 : 19,025.12 = 7,817.99 : x
  2. Step 2: Convert to fraction form
    13,786.32/19,025.12 = 7,817.99/x
  3. Step 3: Cross multiply
    13,786.32x = 19,025.12 × 7,817.99
  4. Step 4: Simplify right side
    13,786.32x = 148,738,105.11
  5. Step 5: Solve for x
    x = 148,738,105.11/13,786.32
  6. Step 6: Final answer
    x = 10,788.82

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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.