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Finding the Fourth Proportional to 19,817.27, 29,735.64 and 7,970.57

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Solution

The fourth proportional to 19,817.27, 29,735.64 and 7,970.57 is: 11,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.27 : 29,735.64 = 7,970.57 : x
  2. Step 2: Convert to fraction form
    19,817.27/29,735.64 = 7,970.57/x
  3. Step 3: Cross multiply
    19,817.27x = 29,735.64 × 7,970.57
  4. Step 4: Simplify right side
    19,817.27x = 237,009,851.44
  5. Step 5: Solve for x
    x = 237,009,851.44/19,817.27
  6. Step 6: Final answer
    x = 11,959.77

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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.