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Finding the Fourth Proportional to 12,331.39, 18,501.74 and 7,404.46

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Solution

The fourth proportional to 12,331.39, 18,501.74 and 7,404.46 is: 11,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.39 : 18,501.74 = 7,404.46 : x
  2. Step 2: Convert to fraction form
    12,331.39/18,501.74 = 7,404.46/x
  3. Step 3: Cross multiply
    12,331.39x = 18,501.74 × 7,404.46
  4. Step 4: Simplify right side
    12,331.39x = 136,995,393.76
  5. Step 5: Solve for x
    x = 136,995,393.76/12,331.39
  6. Step 6: Final answer
    x = 11,109.49

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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.