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Finding the Fourth Proportional to 20,419.54, 30,646.08 and 10,561.84

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Solution

The fourth proportional to 20,419.54, 30,646.08 and 10,561.84 is: 15,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.54 : 30,646.08 = 10,561.84 : x
  2. Step 2: Convert to fraction form
    20,419.54/30,646.08 = 10,561.84/x
  3. Step 3: Cross multiply
    20,419.54x = 30,646.08 × 10,561.84
  4. Step 4: Simplify right side
    20,419.54x = 323,678,993.59
  5. Step 5: Solve for x
    x = 323,678,993.59/20,419.54
  6. Step 6: Final answer
    x = 15,851.43

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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.