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Finding the Fourth Proportional to 16,289.50, 22,469.26 and 12,506.90

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Solution

The fourth proportional to 16,289.50, 22,469.26 and 12,506.90 is: 17,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.50 : 22,469.26 = 12,506.90 : x
  2. Step 2: Convert to fraction form
    16,289.50/22,469.26 = 12,506.90/x
  3. Step 3: Cross multiply
    16,289.50x = 22,469.26 × 12,506.90
  4. Step 4: Simplify right side
    16,289.50x = 281,020,787.89
  5. Step 5: Solve for x
    x = 281,020,787.89/16,289.50
  6. Step 6: Final answer
    x = 17,251.65

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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.