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Finding the Fourth Proportional to 19,462.50, 26,858.25 and 11,079

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Solution

The fourth proportional to 19,462.50, 26,858.25 and 11,079 is: 15,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.50 : 26,858.25 = 11,079 : x
  2. Step 2: Convert to fraction form
    19,462.50/26,858.25 = 11,079/x
  3. Step 3: Cross multiply
    19,462.50x = 26,858.25 × 11,079
  4. Step 4: Simplify right side
    19,462.50x = 297,562,551.75
  5. Step 5: Solve for x
    x = 297,562,551.75/19,462.50
  6. Step 6: Final answer
    x = 15,289.02

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Why These Related Problems?

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