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Finding the Fourth Proportional to 20,672.40, 30,986.52 and 9,566.16

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Solution

The fourth proportional to 20,672.40, 30,986.52 and 9,566.16 is: 14,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.40 : 30,986.52 = 9,566.16 : x
  2. Step 2: Convert to fraction form
    20,672.40/30,986.52 = 9,566.16/x
  3. Step 3: Cross multiply
    20,672.40x = 30,986.52 × 9,566.16
  4. Step 4: Simplify right side
    20,672.40x = 296,422,008.16
  5. Step 5: Solve for x
    x = 296,422,008.16/20,672.40
  6. Step 6: Final answer
    x = 14,339.02

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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.