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Finding the Fourth Proportional to 21,767.31, 30,032.21 and 14,098.44

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Solution

The fourth proportional to 21,767.31, 30,032.21 and 14,098.44 is: 19,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767.31 : 30,032.21 = 14,098.44 : x
  2. Step 2: Convert to fraction form
    21,767.31/30,032.21 = 14,098.44/x
  3. Step 3: Cross multiply
    21,767.31x = 30,032.21 × 14,098.44
  4. Step 4: Simplify right side
    21,767.31x = 423,407,240.26
  5. Step 5: Solve for x
    x = 423,407,240.26/21,767.31
  6. Step 6: Final answer
    x = 19,451.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.