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Finding the Fourth Proportional to 22,563.84, 33,851.04 and 6,980.64

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Solution

The fourth proportional to 22,563.84, 33,851.04 and 6,980.64 is: 10,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.84 : 33,851.04 = 6,980.64 : x
  2. Step 2: Convert to fraction form
    22,563.84/33,851.04 = 6,980.64/x
  3. Step 3: Cross multiply
    22,563.84x = 33,851.04 × 6,980.64
  4. Step 4: Simplify right side
    22,563.84x = 236,301,923.87
  5. Step 5: Solve for x
    x = 236,301,923.87/22,563.84
  6. Step 6: Final answer
    x = 10,472.59

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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.