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Finding the Fourth Proportional to 22,384.64, 33,572.16 and 9,233.60

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Solution

The fourth proportional to 22,384.64, 33,572.16 and 9,233.60 is: 13,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.64 : 33,572.16 = 9,233.60 : x
  2. Step 2: Convert to fraction form
    22,384.64/33,572.16 = 9,233.60/x
  3. Step 3: Cross multiply
    22,384.64x = 33,572.16 × 9,233.60
  4. Step 4: Simplify right side
    22,384.64x = 309,991,896.58
  5. Step 5: Solve for x
    x = 309,991,896.58/22,384.64
  6. Step 6: Final answer
    x = 13,848.42

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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.