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Finding the Fourth Proportional to 19,729.74, 29,606.31 and 7,889.10

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Solution

The fourth proportional to 19,729.74, 29,606.31 and 7,889.10 is: 11,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.74 : 29,606.31 = 7,889.10 : x
  2. Step 2: Convert to fraction form
    19,729.74/29,606.31 = 7,889.10/x
  3. Step 3: Cross multiply
    19,729.74x = 29,606.31 × 7,889.10
  4. Step 4: Simplify right side
    19,729.74x = 233,567,140.22
  5. Step 5: Solve for x
    x = 233,567,140.22/19,729.74
  6. Step 6: Final answer
    x = 11,838.33

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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.