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Finding the Fourth Proportional to 22,258, 33,387 and 6,675.63

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Solution

The fourth proportional to 22,258, 33,387 and 6,675.63 is: 10,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258 : 33,387 = 6,675.63 : x
  2. Step 2: Convert to fraction form
    22,258/33,387 = 6,675.63/x
  3. Step 3: Cross multiply
    22,258x = 33,387 × 6,675.63
  4. Step 4: Simplify right side
    22,258x = 222,879,258.81
  5. Step 5: Solve for x
    x = 222,879,258.81/22,258
  6. Step 6: Final answer
    x = 10,013.45

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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.