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Finding the Fourth Proportional to 12,097.50, 18,129.23 and 9,621.33

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Solution

The fourth proportional to 12,097.50, 18,129.23 and 9,621.33 is: 14,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.50 : 18,129.23 = 9,621.33 : x
  2. Step 2: Convert to fraction form
    12,097.50/18,129.23 = 9,621.33/x
  3. Step 3: Cross multiply
    12,097.50x = 18,129.23 × 9,621.33
  4. Step 4: Simplify right side
    12,097.50x = 174,427,165.72
  5. Step 5: Solve for x
    x = 174,427,165.72/12,097.50
  6. Step 6: Final answer
    x = 14,418.45

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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.