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Finding the Fourth Proportional to 24,020.26, 36,030.40 and 7,604.26

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Solution

The fourth proportional to 24,020.26, 36,030.40 and 7,604.26 is: 11,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020.26 : 36,030.40 = 7,604.26 : x
  2. Step 2: Convert to fraction form
    24,020.26/36,030.40 = 7,604.26/x
  3. Step 3: Cross multiply
    24,020.26x = 36,030.40 × 7,604.26
  4. Step 4: Simplify right side
    24,020.26x = 273,984,529.50
  5. Step 5: Solve for x
    x = 273,984,529.50/24,020.26
  6. Step 6: Final answer
    x = 11,406.39

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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.