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Finding the Fourth Proportional to 24,470.22, 36,708.01 and 7,826.34

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Solution

The fourth proportional to 24,470.22, 36,708.01 and 7,826.34 is: 11,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.22 : 36,708.01 = 7,826.34 : x
  2. Step 2: Convert to fraction form
    24,470.22/36,708.01 = 7,826.34/x
  3. Step 3: Cross multiply
    24,470.22x = 36,708.01 × 7,826.34
  4. Step 4: Simplify right side
    24,470.22x = 287,289,366.98
  5. Step 5: Solve for x
    x = 287,289,366.98/24,470.22
  6. Step 6: Final answer
    x = 11,740.37

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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.