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Finding the Fourth Proportional to 22,626.76, 33,929.16 and 7,830.52

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Solution

The fourth proportional to 22,626.76, 33,929.16 and 7,830.52 is: 11,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.76 : 33,929.16 = 7,830.52 : x
  2. Step 2: Convert to fraction form
    22,626.76/33,929.16 = 7,830.52/x
  3. Step 3: Cross multiply
    22,626.76x = 33,929.16 × 7,830.52
  4. Step 4: Simplify right side
    22,626.76x = 265,682,965.96
  5. Step 5: Solve for x
    x = 265,682,965.96/22,626.76
  6. Step 6: Final answer
    x = 11,741.98

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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.