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Finding the Fourth Proportional to 19,858.68, 29,794.26 and 8,177.40

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Solution

The fourth proportional to 19,858.68, 29,794.26 and 8,177.40 is: 12,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.68 : 29,794.26 = 8,177.40 : x
  2. Step 2: Convert to fraction form
    19,858.68/29,794.26 = 8,177.40/x
  3. Step 3: Cross multiply
    19,858.68x = 29,794.26 × 8,177.40
  4. Step 4: Simplify right side
    19,858.68x = 243,639,581.72
  5. Step 5: Solve for x
    x = 243,639,581.72/19,858.68
  6. Step 6: Final answer
    x = 12,268.67

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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.