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Finding the Fourth Proportional to 13,021.22, 17,965.05 and 8,307.02

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Solution

The fourth proportional to 13,021.22, 17,965.05 and 8,307.02 is: 11,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.22 : 17,965.05 = 8,307.02 : x
  2. Step 2: Convert to fraction form
    13,021.22/17,965.05 = 8,307.02/x
  3. Step 3: Cross multiply
    13,021.22x = 17,965.05 × 8,307.02
  4. Step 4: Simplify right side
    13,021.22x = 149,236,029.65
  5. Step 5: Solve for x
    x = 149,236,029.65/13,021.22
  6. Step 6: Final answer
    x = 11,460.99

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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.