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Finding the Fourth Proportional to 22,283.46, 33,412.86 and 9,145.08

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Solution

The fourth proportional to 22,283.46, 33,412.86 and 9,145.08 is: 13,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.46 : 33,412.86 = 9,145.08 : x
  2. Step 2: Convert to fraction form
    22,283.46/33,412.86 = 9,145.08/x
  3. Step 3: Cross multiply
    22,283.46x = 33,412.86 × 9,145.08
  4. Step 4: Simplify right side
    22,283.46x = 305,563,277.73
  5. Step 5: Solve for x
    x = 305,563,277.73/22,283.46
  6. Step 6: Final answer
    x = 13,712.56

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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.