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Finding the Fourth Proportional to 14,369.14, 19,829.42 and 7,996.31

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Solution

The fourth proportional to 14,369.14, 19,829.42 and 7,996.31 is: 11,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.14 : 19,829.42 = 7,996.31 : x
  2. Step 2: Convert to fraction form
    14,369.14/19,829.42 = 7,996.31/x
  3. Step 3: Cross multiply
    14,369.14x = 19,829.42 × 7,996.31
  4. Step 4: Simplify right side
    14,369.14x = 158,562,189.44
  5. Step 5: Solve for x
    x = 158,562,189.44/14,369.14
  6. Step 6: Final answer
    x = 11,034.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.