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Finding the Fourth Proportional to 15,644.72, 23,436.83 and 8,698.16

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Solution

The fourth proportional to 15,644.72, 23,436.83 and 8,698.16 is: 13,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.72 : 23,436.83 = 8,698.16 : x
  2. Step 2: Convert to fraction form
    15,644.72/23,436.83 = 8,698.16/x
  3. Step 3: Cross multiply
    15,644.72x = 23,436.83 × 8,698.16
  4. Step 4: Simplify right side
    15,644.72x = 203,857,180.05
  5. Step 5: Solve for x
    x = 203,857,180.05/15,644.72
  6. Step 6: Final answer
    x = 13,030.42

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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.