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Finding the Fourth Proportional to 22,804.62, 34,216.65 and 8,023.74

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Solution

The fourth proportional to 22,804.62, 34,216.65 and 8,023.74 is: 12,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.62 : 34,216.65 = 8,023.74 : x
  2. Step 2: Convert to fraction form
    22,804.62/34,216.65 = 8,023.74/x
  3. Step 3: Cross multiply
    22,804.62x = 34,216.65 × 8,023.74
  4. Step 4: Simplify right side
    22,804.62x = 274,545,503.27
  5. Step 5: Solve for x
    x = 274,545,503.27/22,804.62
  6. Step 6: Final answer
    x = 12,039.03

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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.