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Finding the Fourth Proportional to 26,344.50, 39,516.78 and 10,762.13

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Solution

The fourth proportional to 26,344.50, 39,516.78 and 10,762.13 is: 16,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,344.50 : 39,516.78 = 10,762.13 : x
  2. Step 2: Convert to fraction form
    26,344.50/39,516.78 = 10,762.13/x
  3. Step 3: Cross multiply
    26,344.50x = 39,516.78 × 10,762.13
  4. Step 4: Simplify right side
    26,344.50x = 425,284,525.96
  5. Step 5: Solve for x
    x = 425,284,525.96/26,344.50
  6. Step 6: Final answer
    x = 16,143.20

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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.