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Finding the Fourth Proportional to 22,419, 33,630.93 and 7,629.01

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Solution

The fourth proportional to 22,419, 33,630.93 and 7,629.01 is: 11,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419 : 33,630.93 = 7,629.01 : x
  2. Step 2: Convert to fraction form
    22,419/33,630.93 = 7,629.01/x
  3. Step 3: Cross multiply
    22,419x = 33,630.93 × 7,629.01
  4. Step 4: Simplify right side
    22,419x = 256,570,617.20
  5. Step 5: Solve for x
    x = 256,570,617.20/22,419
  6. Step 6: Final answer
    x = 11,444.34

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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.