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Finding the Fourth Proportional to 30,653.09, 42,302.50 and 17,224.30

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Solution

The fourth proportional to 30,653.09, 42,302.50 and 17,224.30 is: 23,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.09 : 42,302.50 = 17,224.30 : x
  2. Step 2: Convert to fraction form
    30,653.09/42,302.50 = 17,224.30/x
  3. Step 3: Cross multiply
    30,653.09x = 42,302.50 × 17,224.30
  4. Step 4: Simplify right side
    30,653.09x = 728,630,801.93
  5. Step 5: Solve for x
    x = 728,630,801.93/30,653.09
  6. Step 6: Final answer
    x = 23,770.23

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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.