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Finding the Fourth Proportional to 17,709.71, 26,546.33 and 7,853.63

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Solution

The fourth proportional to 17,709.71, 26,546.33 and 7,853.63 is: 11,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.71 : 26,546.33 = 7,853.63 : x
  2. Step 2: Convert to fraction form
    17,709.71/26,546.33 = 7,853.63/x
  3. Step 3: Cross multiply
    17,709.71x = 26,546.33 × 7,853.63
  4. Step 4: Simplify right side
    17,709.71x = 208,484,940.58
  5. Step 5: Solve for x
    x = 208,484,940.58/17,709.71
  6. Step 6: Final answer
    x = 11,772.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.