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Finding the Fourth Proportional to 19,657.40, 29,485.76 and 7,177.36

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Solution

The fourth proportional to 19,657.40, 29,485.76 and 7,177.36 is: 10,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.40 : 29,485.76 = 7,177.36 : x
  2. Step 2: Convert to fraction form
    19,657.40/29,485.76 = 7,177.36/x
  3. Step 3: Cross multiply
    19,657.40x = 29,485.76 × 7,177.36
  4. Step 4: Simplify right side
    19,657.40x = 211,629,914.39
  5. Step 5: Solve for x
    x = 211,629,914.39/19,657.40
  6. Step 6: Final answer
    x = 10,765.92

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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.