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Finding the Fourth Proportional to 21,227.10, 31,840.65 and 19,412.70

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Solution

The fourth proportional to 21,227.10, 31,840.65 and 19,412.70 is: 29,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.10 : 31,840.65 = 19,412.70 : x
  2. Step 2: Convert to fraction form
    21,227.10/31,840.65 = 19,412.70/x
  3. Step 3: Cross multiply
    21,227.10x = 31,840.65 × 19,412.70
  4. Step 4: Simplify right side
    21,227.10x = 618,112,986.26
  5. Step 5: Solve for x
    x = 618,112,986.26/21,227.10
  6. Step 6: Final answer
    x = 29,119.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.