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Finding the Fourth Proportional to 12,384.74, 17,085.25 and 7,906.25

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Solution

The fourth proportional to 12,384.74, 17,085.25 and 7,906.25 is: 10,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.74 : 17,085.25 = 7,906.25 : x
  2. Step 2: Convert to fraction form
    12,384.74/17,085.25 = 7,906.25/x
  3. Step 3: Cross multiply
    12,384.74x = 17,085.25 × 7,906.25
  4. Step 4: Simplify right side
    12,384.74x = 135,080,257.81
  5. Step 5: Solve for x
    x = 135,080,257.81/12,384.74
  6. Step 6: Final answer
    x = 10,906.99

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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.