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Finding the Fourth Proportional to 12,365.91, 18,548.70 and 3,006

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Solution

The fourth proportional to 12,365.91, 18,548.70 and 3,006 is: 4,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.91 : 18,548.70 = 3,006 : x
  2. Step 2: Convert to fraction form
    12,365.91/18,548.70 = 3,006/x
  3. Step 3: Cross multiply
    12,365.91x = 18,548.70 × 3,006
  4. Step 4: Simplify right side
    12,365.91x = 55,757,392.20
  5. Step 5: Solve for x
    x = 55,757,392.20/12,365.91
  6. Step 6: Final answer
    x = 4,508.96

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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.