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Finding the Fourth Proportional to 19,201.50, 26,498.07 and 10,369.50

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Solution

The fourth proportional to 19,201.50, 26,498.07 and 10,369.50 is: 14,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.50 : 26,498.07 = 10,369.50 : x
  2. Step 2: Convert to fraction form
    19,201.50/26,498.07 = 10,369.50/x
  3. Step 3: Cross multiply
    19,201.50x = 26,498.07 × 10,369.50
  4. Step 4: Simplify right side
    19,201.50x = 274,771,736.87
  5. Step 5: Solve for x
    x = 274,771,736.87/19,201.50
  6. Step 6: Final answer
    x = 14,309.91

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1.5x scale

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.