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Finding the Fourth Proportional to 19,683.19, 29,509.39 and 13,427.70

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Solution

The fourth proportional to 19,683.19, 29,509.39 and 13,427.70 is: 20,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.19 : 29,509.39 = 13,427.70 : x
  2. Step 2: Convert to fraction form
    19,683.19/29,509.39 = 13,427.70/x
  3. Step 3: Cross multiply
    19,683.19x = 29,509.39 × 13,427.70
  4. Step 4: Simplify right side
    19,683.19x = 396,243,236.10
  5. Step 5: Solve for x
    x = 396,243,236.10/19,683.19
  6. Step 6: Final answer
    x = 20,131.05

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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.