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Finding the Fourth Proportional to 12,235, 18,352.88 and 3,001

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Solution

The fourth proportional to 12,235, 18,352.88 and 3,001 is: 4,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235 : 18,352.88 = 3,001 : x
  2. Step 2: Convert to fraction form
    12,235/18,352.88 = 3,001/x
  3. Step 3: Cross multiply
    12,235x = 18,352.88 × 3,001
  4. Step 4: Simplify right side
    12,235x = 55,076,992.88
  5. Step 5: Solve for x
    x = 55,076,992.88/12,235
  6. Step 6: Final answer
    x = 4,501.59

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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.