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Finding the Fourth Proportional to 22,078.32, 30,467.16 and 12,647.76

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Solution

The fourth proportional to 22,078.32, 30,467.16 and 12,647.76 is: 17,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.32 : 30,467.16 = 12,647.76 : x
  2. Step 2: Convert to fraction form
    22,078.32/30,467.16 = 12,647.76/x
  3. Step 3: Cross multiply
    22,078.32x = 30,467.16 × 12,647.76
  4. Step 4: Simplify right side
    22,078.32x = 385,341,327.56
  5. Step 5: Solve for x
    x = 385,341,327.56/22,078.32
  6. Step 6: Final answer
    x = 17,453.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.