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Finding the Fourth Proportional to 19,119.50, 26,385 and 10,736

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Solution

The fourth proportional to 19,119.50, 26,385 and 10,736 is: 14,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,119.50 : 26,385 = 10,736 : x
  2. Step 2: Convert to fraction form
    19,119.50/26,385 = 10,736/x
  3. Step 3: Cross multiply
    19,119.50x = 26,385 × 10,736
  4. Step 4: Simplify right side
    19,119.50x = 283,269,360
  5. Step 5: Solve for x
    x = 283,269,360/19,119.50
  6. Step 6: Final answer
    x = 14,815.73

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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.