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Finding the Fourth Proportional to 30,596.63, 42,224.24 and 17,167.68

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Solution

The fourth proportional to 30,596.63, 42,224.24 and 17,167.68 is: 23,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,596.63 : 42,224.24 = 17,167.68 : x
  2. Step 2: Convert to fraction form
    30,596.63/42,224.24 = 17,167.68/x
  3. Step 3: Cross multiply
    30,596.63x = 42,224.24 × 17,167.68
  4. Step 4: Simplify right side
    30,596.63x = 724,892,154.72
  5. Step 5: Solve for x
    x = 724,892,154.72/30,596.63
  6. Step 6: Final answer
    x = 23,691.90

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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.