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Finding the Fourth Proportional to 20,705.58, 31,057.98 and 5,123.20

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Solution

The fourth proportional to 20,705.58, 31,057.98 and 5,123.20 is: 7,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.58 : 31,057.98 = 5,123.20 : x
  2. Step 2: Convert to fraction form
    20,705.58/31,057.98 = 5,123.20/x
  3. Step 3: Cross multiply
    20,705.58x = 31,057.98 × 5,123.20
  4. Step 4: Simplify right side
    20,705.58x = 159,116,243.14
  5. Step 5: Solve for x
    x = 159,116,243.14/20,705.58
  6. Step 6: Final answer
    x = 7,684.70

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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.