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Finding the Fourth Proportional to 21,353.20, 32,189.97 and 19,926

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Solution

The fourth proportional to 21,353.20, 32,189.97 and 19,926 is: 30,038.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353.20 : 32,189.97 = 19,926 : x
  2. Step 2: Convert to fraction form
    21,353.20/32,189.97 = 19,926/x
  3. Step 3: Cross multiply
    21,353.20x = 32,189.97 × 19,926
  4. Step 4: Simplify right side
    21,353.20x = 641,417,342.22
  5. Step 5: Solve for x
    x = 641,417,342.22/21,353.20
  6. Step 6: Final answer
    x = 30,038.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.