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Finding the Fourth Proportional to 20,157.12, 30,225.30 and 9,054.28

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Solution

The fourth proportional to 20,157.12, 30,225.30 and 9,054.28 is: 13,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.12 : 30,225.30 = 9,054.28 : x
  2. Step 2: Convert to fraction form
    20,157.12/30,225.30 = 9,054.28/x
  3. Step 3: Cross multiply
    20,157.12x = 30,225.30 × 9,054.28
  4. Step 4: Simplify right side
    20,157.12x = 273,668,178.16
  5. Step 5: Solve for x
    x = 273,668,178.16/20,157.12
  6. Step 6: Final answer
    x = 13,576.75

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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.