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Finding the Fourth Proportional to 15,857.66, 23,787.60 and 6,369.98

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Solution

The fourth proportional to 15,857.66, 23,787.60 and 6,369.98 is: 9,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.66 : 23,787.60 = 6,369.98 : x
  2. Step 2: Convert to fraction form
    15,857.66/23,787.60 = 6,369.98/x
  3. Step 3: Cross multiply
    15,857.66x = 23,787.60 × 6,369.98
  4. Step 4: Simplify right side
    15,857.66x = 151,526,536.25
  5. Step 5: Solve for x
    x = 151,526,536.25/15,857.66
  6. Step 6: Final answer
    x = 9,555.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.