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Finding the Fourth Proportional to 30,895.88, 42,638.96 and 17,469.52

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Solution

The fourth proportional to 30,895.88, 42,638.96 and 17,469.52 is: 24,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.88 : 42,638.96 = 17,469.52 : x
  2. Step 2: Convert to fraction form
    30,895.88/42,638.96 = 17,469.52/x
  3. Step 3: Cross multiply
    30,895.88x = 42,638.96 × 17,469.52
  4. Step 4: Simplify right side
    30,895.88x = 744,882,164.50
  5. Step 5: Solve for x
    x = 744,882,164.50/30,895.88
  6. Step 6: Final answer
    x = 24,109.43

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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.