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Finding the Fourth Proportional to 30,652.74, 42,308.82 and 17,228.34

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Solution

The fourth proportional to 30,652.74, 42,308.82 and 17,228.34 is: 23,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.74 : 42,308.82 = 17,228.34 : x
  2. Step 2: Convert to fraction form
    30,652.74/42,308.82 = 17,228.34/x
  3. Step 3: Cross multiply
    30,652.74x = 42,308.82 × 17,228.34
  4. Step 4: Simplify right side
    30,652.74x = 728,910,735.96
  5. Step 5: Solve for x
    x = 728,910,735.96/30,652.74
  6. Step 6: Final answer
    x = 23,779.63

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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.