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Finding the Fourth Proportional to 12,772.26, 17,623.12 and 7,466.06

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Solution

The fourth proportional to 12,772.26, 17,623.12 and 7,466.06 is: 10,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.26 : 17,623.12 = 7,466.06 : x
  2. Step 2: Convert to fraction form
    12,772.26/17,623.12 = 7,466.06/x
  3. Step 3: Cross multiply
    12,772.26x = 17,623.12 × 7,466.06
  4. Step 4: Simplify right side
    12,772.26x = 131,575,271.31
  5. Step 5: Solve for x
    x = 131,575,271.31/12,772.26
  6. Step 6: Final answer
    x = 10,301.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.