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Finding the Fourth Proportional to 20,830.32, 31,253.04 and 9,146.88

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Solution

The fourth proportional to 20,830.32, 31,253.04 and 9,146.88 is: 13,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.32 : 31,253.04 = 9,146.88 : x
  2. Step 2: Convert to fraction form
    20,830.32/31,253.04 = 9,146.88/x
  3. Step 3: Cross multiply
    20,830.32x = 31,253.04 × 9,146.88
  4. Step 4: Simplify right side
    20,830.32x = 285,867,806.52
  5. Step 5: Solve for x
    x = 285,867,806.52/20,830.32
  6. Step 6: Final answer
    x = 13,723.64

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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.