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Finding the Fourth Proportional to 13,830.59, 19,087.83 and 7,863.15

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Solution

The fourth proportional to 13,830.59, 19,087.83 and 7,863.15 is: 10,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.59 : 19,087.83 = 7,863.15 : x
  2. Step 2: Convert to fraction form
    13,830.59/19,087.83 = 7,863.15/x
  3. Step 3: Cross multiply
    13,830.59x = 19,087.83 × 7,863.15
  4. Step 4: Simplify right side
    13,830.59x = 150,090,542.04
  5. Step 5: Solve for x
    x = 150,090,542.04/13,830.59
  6. Step 6: Final answer
    x = 10,852.07

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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.