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Finding the Fourth Proportional to 14,356.38, 19,810.84 and 7,982.48

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Solution

The fourth proportional to 14,356.38, 19,810.84 and 7,982.48 is: 11,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.38 : 19,810.84 = 7,982.48 : x
  2. Step 2: Convert to fraction form
    14,356.38/19,810.84 = 7,982.48/x
  3. Step 3: Cross multiply
    14,356.38x = 19,810.84 × 7,982.48
  4. Step 4: Simplify right side
    14,356.38x = 158,139,634.08
  5. Step 5: Solve for x
    x = 158,139,634.08/14,356.38
  6. Step 6: Final answer
    x = 11,015.29

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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.