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Finding the Fourth Proportional to 30,641.96, 42,290.03 and 17,213.99

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Solution

The fourth proportional to 30,641.96, 42,290.03 and 17,213.99 is: 23,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.96 : 42,290.03 = 17,213.99 : x
  2. Step 2: Convert to fraction form
    30,641.96/42,290.03 = 17,213.99/x
  3. Step 3: Cross multiply
    30,641.96x = 42,290.03 × 17,213.99
  4. Step 4: Simplify right side
    30,641.96x = 727,979,985.10
  5. Step 5: Solve for x
    x = 727,979,985.10/30,641.96
  6. Step 6: Final answer
    x = 23,757.62

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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.