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Finding the Fourth Proportional to 19,969.96, 29,958.78 and 7,657

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Solution

The fourth proportional to 19,969.96, 29,958.78 and 7,657 is: 11,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.96 : 29,958.78 = 7,657 : x
  2. Step 2: Convert to fraction form
    19,969.96/29,958.78 = 7,657/x
  3. Step 3: Cross multiply
    19,969.96x = 29,958.78 × 7,657
  4. Step 4: Simplify right side
    19,969.96x = 229,394,378.46
  5. Step 5: Solve for x
    x = 229,394,378.46/19,969.96
  6. Step 6: Final answer
    x = 11,486.97

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Why These Related Problems?

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