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Finding the Fourth Proportional to 12,341.51, 18,512.25 and 4,021.51

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Solution

The fourth proportional to 12,341.51, 18,512.25 and 4,021.51 is: 6,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.51 : 18,512.25 = 4,021.51 : x
  2. Step 2: Convert to fraction form
    12,341.51/18,512.25 = 4,021.51/x
  3. Step 3: Cross multiply
    12,341.51x = 18,512.25 × 4,021.51
  4. Step 4: Simplify right side
    12,341.51x = 74,447,198.50
  5. Step 5: Solve for x
    x = 74,447,198.50/12,341.51
  6. Step 6: Final answer
    x = 6,032.26

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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.