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Finding the Fourth Proportional to 20,465.40, 30,699.54 and 5,676.60

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Solution

The fourth proportional to 20,465.40, 30,699.54 and 5,676.60 is: 8,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.40 : 30,699.54 = 5,676.60 : x
  2. Step 2: Convert to fraction form
    20,465.40/30,699.54 = 5,676.60/x
  3. Step 3: Cross multiply
    20,465.40x = 30,699.54 × 5,676.60
  4. Step 4: Simplify right side
    20,465.40x = 174,269,008.76
  5. Step 5: Solve for x
    x = 174,269,008.76/20,465.40
  6. Step 6: Final answer
    x = 8,515.30

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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.