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Finding the Fourth Proportional to 26,707.50, 40,061.79 and 8,239.50

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Solution

The fourth proportional to 26,707.50, 40,061.79 and 8,239.50 is: 12,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,707.50 : 40,061.79 = 8,239.50 : x
  2. Step 2: Convert to fraction form
    26,707.50/40,061.79 = 8,239.50/x
  3. Step 3: Cross multiply
    26,707.50x = 40,061.79 × 8,239.50
  4. Step 4: Simplify right side
    26,707.50x = 330,089,118.71
  5. Step 5: Solve for x
    x = 330,089,118.71/26,707.50
  6. Step 6: Final answer
    x = 12,359.42

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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.