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Finding the Fourth Proportional to 21,725.71, 32,405.90 and 19,732.51

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Solution

The fourth proportional to 21,725.71, 32,405.90 and 19,732.51 is: 29,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.71 : 32,405.90 = 19,732.51 : x
  2. Step 2: Convert to fraction form
    21,725.71/32,405.90 = 19,732.51/x
  3. Step 3: Cross multiply
    21,725.71x = 32,405.90 × 19,732.51
  4. Step 4: Simplify right side
    21,725.71x = 639,449,745.81
  5. Step 5: Solve for x
    x = 639,449,745.81/21,725.71
  6. Step 6: Final answer
    x = 29,432.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.