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Finding the Fourth Proportional to 12,312.36, 18,468.66 and 3,992.30

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Solution

The fourth proportional to 12,312.36, 18,468.66 and 3,992.30 is: 5,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.36 : 18,468.66 = 3,992.30 : x
  2. Step 2: Convert to fraction form
    12,312.36/18,468.66 = 3,992.30/x
  3. Step 3: Cross multiply
    12,312.36x = 18,468.66 × 3,992.30
  4. Step 4: Simplify right side
    12,312.36x = 73,732,431.32
  5. Step 5: Solve for x
    x = 73,732,431.32/12,312.36
  6. Step 6: Final answer
    x = 5,988.49

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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.