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Finding the Fourth Proportional to 12,369.74, 18,557.64 and 4,975.25

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Solution

The fourth proportional to 12,369.74, 18,557.64 and 4,975.25 is: 7,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.74 : 18,557.64 = 4,975.25 : x
  2. Step 2: Convert to fraction form
    12,369.74/18,557.64 = 4,975.25/x
  3. Step 3: Cross multiply
    12,369.74x = 18,557.64 × 4,975.25
  4. Step 4: Simplify right side
    12,369.74x = 92,328,805.62
  5. Step 5: Solve for x
    x = 92,328,805.62/12,369.74
  6. Step 6: Final answer
    x = 7,464.09

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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.