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Finding the Fourth Proportional to 22,323.88, 33,485.80 and 9,167

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Solution

The fourth proportional to 22,323.88, 33,485.80 and 9,167 is: 13,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.88 : 33,485.80 = 9,167 : x
  2. Step 2: Convert to fraction form
    22,323.88/33,485.80 = 9,167/x
  3. Step 3: Cross multiply
    22,323.88x = 33,485.80 × 9,167
  4. Step 4: Simplify right side
    22,323.88x = 306,964,328.60
  5. Step 5: Solve for x
    x = 306,964,328.60/22,323.88
  6. Step 6: Final answer
    x = 13,750.49

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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.