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Finding the Fourth Proportional to 22,308.72, 33,457.48 and 9,164.72

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Solution

The fourth proportional to 22,308.72, 33,457.48 and 9,164.72 is: 13,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.72 : 33,457.48 = 9,164.72 : x
  2. Step 2: Convert to fraction form
    22,308.72/33,457.48 = 9,164.72/x
  3. Step 3: Cross multiply
    22,308.72x = 33,457.48 × 9,164.72
  4. Step 4: Simplify right side
    22,308.72x = 306,628,436.11
  5. Step 5: Solve for x
    x = 306,628,436.11/22,308.72
  6. Step 6: Final answer
    x = 13,744.78

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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.