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Finding the Fourth Proportional to 30,938.72, 42,697.38 and 17,504.86

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Solution

The fourth proportional to 30,938.72, 42,697.38 and 17,504.86 is: 24,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.72 : 42,697.38 = 17,504.86 : x
  2. Step 2: Convert to fraction form
    30,938.72/42,697.38 = 17,504.86/x
  3. Step 3: Cross multiply
    30,938.72x = 42,697.38 × 17,504.86
  4. Step 4: Simplify right side
    30,938.72x = 747,411,659.27
  5. Step 5: Solve for x
    x = 747,411,659.27/30,938.72
  6. Step 6: Final answer
    x = 24,157.81

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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.