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Finding the Fourth Proportional to 26,666.50, 40,008.39 and 9,136.48

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Solution

The fourth proportional to 26,666.50, 40,008.39 and 9,136.48 is: 13,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,666.50 : 40,008.39 = 9,136.48 : x
  2. Step 2: Convert to fraction form
    26,666.50/40,008.39 = 9,136.48/x
  3. Step 3: Cross multiply
    26,666.50x = 40,008.39 × 9,136.48
  4. Step 4: Simplify right side
    26,666.50x = 365,535,609.34
  5. Step 5: Solve for x
    x = 365,535,609.34/26,666.50
  6. Step 6: Final answer
    x = 13,707.67

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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.