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Finding the Fourth Proportional to 13,830.56, 20,728.56 and 6,907.04

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Solution

The fourth proportional to 13,830.56, 20,728.56 and 6,907.04 is: 10,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.56 : 20,728.56 = 6,907.04 : x
  2. Step 2: Convert to fraction form
    13,830.56/20,728.56 = 6,907.04/x
  3. Step 3: Cross multiply
    13,830.56x = 20,728.56 × 6,907.04
  4. Step 4: Simplify right side
    13,830.56x = 143,172,993.06
  5. Step 5: Solve for x
    x = 143,172,993.06/13,830.56
  6. Step 6: Final answer
    x = 10,351.93

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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.