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Finding the Fourth Proportional to 26,811.86, 40,224.63 and 15,728.33

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Solution

The fourth proportional to 26,811.86, 40,224.63 and 15,728.33 is: 23,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811.86 : 40,224.63 = 15,728.33 : x
  2. Step 2: Convert to fraction form
    26,811.86/40,224.63 = 15,728.33/x
  3. Step 3: Cross multiply
    26,811.86x = 40,224.63 × 15,728.33
  4. Step 4: Simplify right side
    26,811.86x = 632,666,055.34
  5. Step 5: Solve for x
    x = 632,666,055.34/26,811.86
  6. Step 6: Final answer
    x = 23,596.50

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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.