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Finding the Fourth Proportional to 23,075.36, 34,626 and 9,225.44

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Solution

The fourth proportional to 23,075.36, 34,626 and 9,225.44 is: 13,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.36 : 34,626 = 9,225.44 : x
  2. Step 2: Convert to fraction form
    23,075.36/34,626 = 9,225.44/x
  3. Step 3: Cross multiply
    23,075.36x = 34,626 × 9,225.44
  4. Step 4: Simplify right side
    23,075.36x = 319,440,085.44
  5. Step 5: Solve for x
    x = 319,440,085.44/23,075.36
  6. Step 6: Final answer
    x = 13,843.34

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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.