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Finding the Fourth Proportional to 19,506.50, 26,917 and 11,007.84

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Solution

The fourth proportional to 19,506.50, 26,917 and 11,007.84 is: 15,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.50 : 26,917 = 11,007.84 : x
  2. Step 2: Convert to fraction form
    19,506.50/26,917 = 11,007.84/x
  3. Step 3: Cross multiply
    19,506.50x = 26,917 × 11,007.84
  4. Step 4: Simplify right side
    19,506.50x = 296,298,029.28
  5. Step 5: Solve for x
    x = 296,298,029.28/19,506.50
  6. Step 6: Final answer
    x = 15,189.71

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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.