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Finding the Fourth Proportional to 14,194.28, 19,588.26 and 7,907

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Solution

The fourth proportional to 14,194.28, 19,588.26 and 7,907 is: 10,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.28 : 19,588.26 = 7,907 : x
  2. Step 2: Convert to fraction form
    14,194.28/19,588.26 = 7,907/x
  3. Step 3: Cross multiply
    14,194.28x = 19,588.26 × 7,907
  4. Step 4: Simplify right side
    14,194.28x = 154,884,371.82
  5. Step 5: Solve for x
    x = 154,884,371.82/14,194.28
  6. Step 6: Final answer
    x = 10,911.75

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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.