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Finding the Fourth Proportional to 22,362.89, 33,559.74 and 9,215.28

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Solution

The fourth proportional to 22,362.89, 33,559.74 and 9,215.28 is: 13,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362.89 : 33,559.74 = 9,215.28 : x
  2. Step 2: Convert to fraction form
    22,362.89/33,559.74 = 9,215.28/x
  3. Step 3: Cross multiply
    22,362.89x = 33,559.74 × 9,215.28
  4. Step 4: Simplify right side
    22,362.89x = 309,262,400.83
  5. Step 5: Solve for x
    x = 309,262,400.83/22,362.89
  6. Step 6: Final answer
    x = 13,829.27

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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.