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Finding the Fourth Proportional to 19,518.36, 29,283.02 and 7,839.78

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Solution

The fourth proportional to 19,518.36, 29,283.02 and 7,839.78 is: 11,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,518.36 : 29,283.02 = 7,839.78 : x
  2. Step 2: Convert to fraction form
    19,518.36/29,283.02 = 7,839.78/x
  3. Step 3: Cross multiply
    19,518.36x = 29,283.02 × 7,839.78
  4. Step 4: Simplify right side
    19,518.36x = 229,572,434.54
  5. Step 5: Solve for x
    x = 229,572,434.54/19,518.36
  6. Step 6: Final answer
    x = 11,761.87

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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.