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Finding the Fourth Proportional to 22,308.46, 33,473.60 and 9,164.58

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Solution

The fourth proportional to 22,308.46, 33,473.60 and 9,164.58 is: 13,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.46 : 33,473.60 = 9,164.58 : x
  2. Step 2: Convert to fraction form
    22,308.46/33,473.60 = 9,164.58/x
  3. Step 3: Cross multiply
    22,308.46x = 33,473.60 × 9,164.58
  4. Step 4: Simplify right side
    22,308.46x = 306,771,485.09
  5. Step 5: Solve for x
    x = 306,771,485.09/22,308.46
  6. Step 6: Final answer
    x = 13,751.35

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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.