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Finding the Fourth Proportional to 22,368.49, 33,528.12 and 9,213.68

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Solution

The fourth proportional to 22,368.49, 33,528.12 and 9,213.68 is: 13,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368.49 : 33,528.12 = 9,213.68 : x
  2. Step 2: Convert to fraction form
    22,368.49/33,528.12 = 9,213.68/x
  3. Step 3: Cross multiply
    22,368.49x = 33,528.12 × 9,213.68
  4. Step 4: Simplify right side
    22,368.49x = 308,917,391.72
  5. Step 5: Solve for x
    x = 308,917,391.72/22,368.49
  6. Step 6: Final answer
    x = 13,810.39

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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.