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Finding the Fourth Proportional to 14,278.98, 19,705.56 and 7,991.34

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Solution

The fourth proportional to 14,278.98, 19,705.56 and 7,991.34 is: 11,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.98 : 19,705.56 = 7,991.34 : x
  2. Step 2: Convert to fraction form
    14,278.98/19,705.56 = 7,991.34/x
  3. Step 3: Cross multiply
    14,278.98x = 19,705.56 × 7,991.34
  4. Step 4: Simplify right side
    14,278.98x = 157,473,829.85
  5. Step 5: Solve for x
    x = 157,473,829.85/14,278.98
  6. Step 6: Final answer
    x = 11,028.37

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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.