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Finding the Fourth Proportional to 19,973.94, 29,966.22 and 6,826.30

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Solution

The fourth proportional to 19,973.94, 29,966.22 and 6,826.30 is: 10,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.94 : 29,966.22 = 6,826.30 : x
  2. Step 2: Convert to fraction form
    19,973.94/29,966.22 = 6,826.30/x
  3. Step 3: Cross multiply
    19,973.94x = 29,966.22 × 6,826.30
  4. Step 4: Simplify right side
    19,973.94x = 204,558,407.59
  5. Step 5: Solve for x
    x = 204,558,407.59/19,973.94
  6. Step 6: Final answer
    x = 10,241.26

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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.