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Finding the Fourth Proportional to 12,366, 18,544.14 and 4,569.48

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Solution

The fourth proportional to 12,366, 18,544.14 and 4,569.48 is: 6,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366 : 18,544.14 = 4,569.48 : x
  2. Step 2: Convert to fraction form
    12,366/18,544.14 = 4,569.48/x
  3. Step 3: Cross multiply
    12,366x = 18,544.14 × 4,569.48
  4. Step 4: Simplify right side
    12,366x = 84,737,076.85
  5. Step 5: Solve for x
    x = 84,737,076.85/12,366
  6. Step 6: Final answer
    x = 6,852.42

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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.