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Finding the Fourth Proportional to 19,661.40, 29,477.70 and 7,968.60

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Solution

The fourth proportional to 19,661.40, 29,477.70 and 7,968.60 is: 11,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.40 : 29,477.70 = 7,968.60 : x
  2. Step 2: Convert to fraction form
    19,661.40/29,477.70 = 7,968.60/x
  3. Step 3: Cross multiply
    19,661.40x = 29,477.70 × 7,968.60
  4. Step 4: Simplify right side
    19,661.40x = 234,896,000.22
  5. Step 5: Solve for x
    x = 234,896,000.22/19,661.40
  6. Step 6: Final answer
    x = 11,947.06

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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.