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Finding the Fourth Proportional to 30,676.96, 42,334.04 and 17,248.24

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Solution

The fourth proportional to 30,676.96, 42,334.04 and 17,248.24 is: 23,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.96 : 42,334.04 = 17,248.24 : x
  2. Step 2: Convert to fraction form
    30,676.96/42,334.04 = 17,248.24/x
  3. Step 3: Cross multiply
    30,676.96x = 42,334.04 × 17,248.24
  4. Step 4: Simplify right side
    30,676.96x = 730,187,682.09
  5. Step 5: Solve for x
    x = 730,187,682.09/30,676.96
  6. Step 6: Final answer
    x = 23,802.48

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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.