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Finding the Fourth Proportional to 20,130.12, 30,151.44 and 9,720

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Solution

The fourth proportional to 20,130.12, 30,151.44 and 9,720 is: 14,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.12 : 30,151.44 = 9,720 : x
  2. Step 2: Convert to fraction form
    20,130.12/30,151.44 = 9,720/x
  3. Step 3: Cross multiply
    20,130.12x = 30,151.44 × 9,720
  4. Step 4: Simplify right side
    20,130.12x = 293,071,996.80
  5. Step 5: Solve for x
    x = 293,071,996.80/20,130.12
  6. Step 6: Final answer
    x = 14,558.88

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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.