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Finding the Fourth Proportional to 26,791.50, 40,212.06 and 13,653.66

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Solution

The fourth proportional to 26,791.50, 40,212.06 and 13,653.66 is: 20,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,791.50 : 40,212.06 = 13,653.66 : x
  2. Step 2: Convert to fraction form
    26,791.50/40,212.06 = 13,653.66/x
  3. Step 3: Cross multiply
    26,791.50x = 40,212.06 × 13,653.66
  4. Step 4: Simplify right side
    26,791.50x = 549,041,795.14
  5. Step 5: Solve for x
    x = 549,041,795.14/26,791.50
  6. Step 6: Final answer
    x = 20,493.13

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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.