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Finding the Fourth Proportional to 13,830.45, 19,087.16 and 7,863.99

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Solution

The fourth proportional to 13,830.45, 19,087.16 and 7,863.99 is: 10,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.45 : 19,087.16 = 7,863.99 : x
  2. Step 2: Convert to fraction form
    13,830.45/19,087.16 = 7,863.99/x
  3. Step 3: Cross multiply
    13,830.45x = 19,087.16 × 7,863.99
  4. Step 4: Simplify right side
    13,830.45x = 150,101,196.05
  5. Step 5: Solve for x
    x = 150,101,196.05/13,830.45
  6. Step 6: Final answer
    x = 10,852.95

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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.