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Finding the Fourth Proportional to 13,929, 20,894.46 and 4,566.54

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Solution

The fourth proportional to 13,929, 20,894.46 and 4,566.54 is: 6,850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929 : 20,894.46 = 4,566.54 : x
  2. Step 2: Convert to fraction form
    13,929/20,894.46 = 4,566.54/x
  3. Step 3: Cross multiply
    13,929x = 20,894.46 × 4,566.54
  4. Step 4: Simplify right side
    13,929x = 95,415,387.37
  5. Step 5: Solve for x
    x = 95,415,387.37/13,929
  6. Step 6: Final answer
    x = 6,850.12

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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.