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Finding the Fourth Proportional to 22,429, 33,643.50 and 6,013

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Solution

The fourth proportional to 22,429, 33,643.50 and 6,013 is: 9,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429 : 33,643.50 = 6,013 : x
  2. Step 2: Convert to fraction form
    22,429/33,643.50 = 6,013/x
  3. Step 3: Cross multiply
    22,429x = 33,643.50 × 6,013
  4. Step 4: Simplify right side
    22,429x = 202,298,365.50
  5. Step 5: Solve for x
    x = 202,298,365.50/22,429
  6. Step 6: Final answer
    x = 9,019.50

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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.