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Finding the Fourth Proportional to 19,254.50, 26,571.29 and 10,422.50

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Solution

The fourth proportional to 19,254.50, 26,571.29 and 10,422.50 is: 14,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,254.50 : 26,571.29 = 10,422.50 : x
  2. Step 2: Convert to fraction form
    19,254.50/26,571.29 = 10,422.50/x
  3. Step 3: Cross multiply
    19,254.50x = 26,571.29 × 10,422.50
  4. Step 4: Simplify right side
    19,254.50x = 276,939,270.03
  5. Step 5: Solve for x
    x = 276,939,270.03/19,254.50
  6. Step 6: Final answer
    x = 14,383.09

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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.