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Finding the Fourth Proportional to 19,770.07, 29,650.44 and 7,283.31

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Solution

The fourth proportional to 19,770.07, 29,650.44 and 7,283.31 is: 10,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.07 : 29,650.44 = 7,283.31 : x
  2. Step 2: Convert to fraction form
    19,770.07/29,650.44 = 7,283.31/x
  3. Step 3: Cross multiply
    19,770.07x = 29,650.44 × 7,283.31
  4. Step 4: Simplify right side
    19,770.07x = 215,953,346.16
  5. Step 5: Solve for x
    x = 215,953,346.16/19,770.07
  6. Step 6: Final answer
    x = 10,923.25

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