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Finding the Fourth Proportional to 22,165.12, 33,244.16 and 7,384.32

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Solution

The fourth proportional to 22,165.12, 33,244.16 and 7,384.32 is: 11,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.12 : 33,244.16 = 7,384.32 : x
  2. Step 2: Convert to fraction form
    22,165.12/33,244.16 = 7,384.32/x
  3. Step 3: Cross multiply
    22,165.12x = 33,244.16 × 7,384.32
  4. Step 4: Simplify right side
    22,165.12x = 245,485,515.57
  5. Step 5: Solve for x
    x = 245,485,515.57/22,165.12
  6. Step 6: Final answer
    x = 11,075.31

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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.