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Finding the Fourth Proportional to 21,221.84, 31,796.30 and 19,370.18

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Solution

The fourth proportional to 21,221.84, 31,796.30 and 19,370.18 is: 29,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.84 : 31,796.30 = 19,370.18 : x
  2. Step 2: Convert to fraction form
    21,221.84/31,796.30 = 19,370.18/x
  3. Step 3: Cross multiply
    21,221.84x = 31,796.30 × 19,370.18
  4. Step 4: Simplify right side
    21,221.84x = 615,900,054.33
  5. Step 5: Solve for x
    x = 615,900,054.33/21,221.84
  6. Step 6: Final answer
    x = 29,021.99

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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.