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Finding the Fourth Proportional to 12,295.06, 16,953.74 and 8,309.26

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Solution

The fourth proportional to 12,295.06, 16,953.74 and 8,309.26 is: 11,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.06 : 16,953.74 = 8,309.26 : x
  2. Step 2: Convert to fraction form
    12,295.06/16,953.74 = 8,309.26/x
  3. Step 3: Cross multiply
    12,295.06x = 16,953.74 × 8,309.26
  4. Step 4: Simplify right side
    12,295.06x = 140,873,033.63
  5. Step 5: Solve for x
    x = 140,873,033.63/12,295.06
  6. Step 6: Final answer
    x = 11,457.69

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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.