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Finding the Fourth Proportional to 29,694.72, 40,985.28 and 20,748

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Solution

The fourth proportional to 29,694.72, 40,985.28 and 20,748 is: 28,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.72 : 40,985.28 = 20,748 : x
  2. Step 2: Convert to fraction form
    29,694.72/40,985.28 = 20,748/x
  3. Step 3: Cross multiply
    29,694.72x = 40,985.28 × 20,748
  4. Step 4: Simplify right side
    29,694.72x = 850,362,589.44
  5. Step 5: Solve for x
    x = 850,362,589.44/29,694.72
  6. Step 6: Final answer
    x = 28,636.83

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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.