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Finding the Fourth Proportional to 22,804.46, 34,208.64 and 8,012.10

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Solution

The fourth proportional to 22,804.46, 34,208.64 and 8,012.10 is: 12,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.46 : 34,208.64 = 8,012.10 : x
  2. Step 2: Convert to fraction form
    22,804.46/34,208.64 = 8,012.10/x
  3. Step 3: Cross multiply
    22,804.46x = 34,208.64 × 8,012.10
  4. Step 4: Simplify right side
    22,804.46x = 274,083,044.54
  5. Step 5: Solve for x
    x = 274,083,044.54/22,804.46
  6. Step 6: Final answer
    x = 12,018.84

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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.