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Finding the Fourth Proportional to 20,142.89, 30,214.93 and 9,614.02

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Solution

The fourth proportional to 20,142.89, 30,214.93 and 9,614.02 is: 14,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.89 : 30,214.93 = 9,614.02 : x
  2. Step 2: Convert to fraction form
    20,142.89/30,214.93 = 9,614.02/x
  3. Step 3: Cross multiply
    20,142.89x = 30,214.93 × 9,614.02
  4. Step 4: Simplify right side
    20,142.89x = 290,486,941.32
  5. Step 5: Solve for x
    x = 290,486,941.32/20,142.89
  6. Step 6: Final answer
    x = 14,421.31

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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.