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Finding the Fourth Proportional to 14,684.22, 20,250.78 and 9,646.44

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Solution

The fourth proportional to 14,684.22, 20,250.78 and 9,646.44 is: 13,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.22 : 20,250.78 = 9,646.44 : x
  2. Step 2: Convert to fraction form
    14,684.22/20,250.78 = 9,646.44/x
  3. Step 3: Cross multiply
    14,684.22x = 20,250.78 × 9,646.44
  4. Step 4: Simplify right side
    14,684.22x = 195,347,934.22
  5. Step 5: Solve for x
    x = 195,347,934.22/14,684.22
  6. Step 6: Final answer
    x = 13,303.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.