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Finding the Fourth Proportional to 19,769.66, 29,635.44 and 7,282.86

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Solution

The fourth proportional to 19,769.66, 29,635.44 and 7,282.86 is: 10,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.66 : 29,635.44 = 7,282.86 : x
  2. Step 2: Convert to fraction form
    19,769.66/29,635.44 = 7,282.86/x
  3. Step 3: Cross multiply
    19,769.66x = 29,635.44 × 7,282.86
  4. Step 4: Simplify right side
    19,769.66x = 215,830,622.11
  5. Step 5: Solve for x
    x = 215,830,622.11/19,769.66
  6. Step 6: Final answer
    x = 10,917.27

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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.