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Finding the Fourth Proportional to 21,683.64, 29,923.03 and 12,252

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Solution

The fourth proportional to 21,683.64, 29,923.03 and 12,252 is: 16,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.64 : 29,923.03 = 12,252 : x
  2. Step 2: Convert to fraction form
    21,683.64/29,923.03 = 12,252/x
  3. Step 3: Cross multiply
    21,683.64x = 29,923.03 × 12,252
  4. Step 4: Simplify right side
    21,683.64x = 366,616,963.56
  5. Step 5: Solve for x
    x = 366,616,963.56/21,683.64
  6. Step 6: Final answer
    x = 16,907.54

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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.