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Finding the Fourth Proportional to 30,652.23, 42,289.90 and 17,221.62

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Solution

The fourth proportional to 30,652.23, 42,289.90 and 17,221.62 is: 23,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.23 : 42,289.90 = 17,221.62 : x
  2. Step 2: Convert to fraction form
    30,652.23/42,289.90 = 17,221.62/x
  3. Step 3: Cross multiply
    30,652.23x = 42,289.90 × 17,221.62
  4. Step 4: Simplify right side
    30,652.23x = 728,300,587.64
  5. Step 5: Solve for x
    x = 728,300,587.64/30,652.23
  6. Step 6: Final answer
    x = 23,760.12

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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.