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Finding the Fourth Proportional to 12,930.30, 17,843.40 and 7,266.06

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Solution

The fourth proportional to 12,930.30, 17,843.40 and 7,266.06 is: 10,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.30 : 17,843.40 = 7,266.06 : x
  2. Step 2: Convert to fraction form
    12,930.30/17,843.40 = 7,266.06/x
  3. Step 3: Cross multiply
    12,930.30x = 17,843.40 × 7,266.06
  4. Step 4: Simplify right side
    12,930.30x = 129,651,215.00
  5. Step 5: Solve for x
    x = 129,651,215.00/12,930.30
  6. Step 6: Final answer
    x = 10,026.93

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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.