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Finding the Fourth Proportional to 19,105.80, 26,358.75 and 14,082

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Solution

The fourth proportional to 19,105.80, 26,358.75 and 14,082 is: 19,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.80 : 26,358.75 = 14,082 : x
  2. Step 2: Convert to fraction form
    19,105.80/26,358.75 = 14,082/x
  3. Step 3: Cross multiply
    19,105.80x = 26,358.75 × 14,082
  4. Step 4: Simplify right side
    19,105.80x = 371,183,917.50
  5. Step 5: Solve for x
    x = 371,183,917.50/19,105.80
  6. Step 6: Final answer
    x = 19,427.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.