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Finding the Fourth Proportional to 20,783.70, 31,189.20 and 7,636.18

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Solution

The fourth proportional to 20,783.70, 31,189.20 and 7,636.18 is: 11,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.70 : 31,189.20 = 7,636.18 : x
  2. Step 2: Convert to fraction form
    20,783.70/31,189.20 = 7,636.18/x
  3. Step 3: Cross multiply
    20,783.70x = 31,189.20 × 7,636.18
  4. Step 4: Simplify right side
    20,783.70x = 238,166,345.26
  5. Step 5: Solve for x
    x = 238,166,345.26/20,783.70
  6. Step 6: Final answer
    x = 11,459.29

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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.