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Finding the Fourth Proportional to 22,410.84, 33,621.30 and 6,830.04

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Solution

The fourth proportional to 22,410.84, 33,621.30 and 6,830.04 is: 10,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,410.84 : 33,621.30 = 6,830.04 : x
  2. Step 2: Convert to fraction form
    22,410.84/33,621.30 = 6,830.04/x
  3. Step 3: Cross multiply
    22,410.84x = 33,621.30 × 6,830.04
  4. Step 4: Simplify right side
    22,410.84x = 229,634,823.85
  5. Step 5: Solve for x
    x = 229,634,823.85/22,410.84
  6. Step 6: Final answer
    x = 10,246.60

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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.