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Finding the Fourth Proportional to 20,646.38, 30,969.87 and 5,064

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Solution

The fourth proportional to 20,646.38, 30,969.87 and 5,064 is: 7,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.38 : 30,969.87 = 5,064 : x
  2. Step 2: Convert to fraction form
    20,646.38/30,969.87 = 5,064/x
  3. Step 3: Cross multiply
    20,646.38x = 30,969.87 × 5,064
  4. Step 4: Simplify right side
    20,646.38x = 156,831,421.68
  5. Step 5: Solve for x
    x = 156,831,421.68/20,646.38
  6. Step 6: Final answer
    x = 7,596.08

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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.