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Finding the Fourth Proportional to 20,505.10, 30,705.36 and 16,351.17

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Solution

The fourth proportional to 20,505.10, 30,705.36 and 16,351.17 is: 24,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.10 : 30,705.36 = 16,351.17 : x
  2. Step 2: Convert to fraction form
    20,505.10/30,705.36 = 16,351.17/x
  3. Step 3: Cross multiply
    20,505.10x = 30,705.36 × 16,351.17
  4. Step 4: Simplify right side
    20,505.10x = 502,068,442.38
  5. Step 5: Solve for x
    x = 502,068,442.38/20,505.10
  6. Step 6: Final answer
    x = 24,485.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.