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Finding the Fourth Proportional to 12,698.13, 17,519.36 and 8,225.31

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Solution

The fourth proportional to 12,698.13, 17,519.36 and 8,225.31 is: 11,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.13 : 17,519.36 = 8,225.31 : x
  2. Step 2: Convert to fraction form
    12,698.13/17,519.36 = 8,225.31/x
  3. Step 3: Cross multiply
    12,698.13x = 17,519.36 × 8,225.31
  4. Step 4: Simplify right side
    12,698.13x = 144,102,167.00
  5. Step 5: Solve for x
    x = 144,102,167.00/12,698.13
  6. Step 6: Final answer
    x = 11,348.30

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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.