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Finding the Fourth Proportional to 22,422.90, 33,605.54 and 9,284.34

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Solution

The fourth proportional to 22,422.90, 33,605.54 and 9,284.34 is: 13,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.90 : 33,605.54 = 9,284.34 : x
  2. Step 2: Convert to fraction form
    22,422.90/33,605.54 = 9,284.34/x
  3. Step 3: Cross multiply
    22,422.90x = 33,605.54 × 9,284.34
  4. Step 4: Simplify right side
    22,422.90x = 312,005,259.24
  5. Step 5: Solve for x
    x = 312,005,259.24/22,422.90
  6. Step 6: Final answer
    x = 13,914.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.