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Finding the Fourth Proportional to 13,830.87, 20,739.81 and 5,059.65

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Solution

The fourth proportional to 13,830.87, 20,739.81 and 5,059.65 is: 7,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.87 : 20,739.81 = 5,059.65 : x
  2. Step 2: Convert to fraction form
    13,830.87/20,739.81 = 5,059.65/x
  3. Step 3: Cross multiply
    13,830.87x = 20,739.81 × 5,059.65
  4. Step 4: Simplify right side
    13,830.87x = 104,936,179.67
  5. Step 5: Solve for x
    x = 104,936,179.67/13,830.87
  6. Step 6: Final answer
    x = 7,587.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.