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Finding the Fourth Proportional to 14,697.25, 20,282.22 and 8,409.64

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Solution

The fourth proportional to 14,697.25, 20,282.22 and 8,409.64 is: 11,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.25 : 20,282.22 = 8,409.64 : x
  2. Step 2: Convert to fraction form
    14,697.25/20,282.22 = 8,409.64/x
  3. Step 3: Cross multiply
    14,697.25x = 20,282.22 × 8,409.64
  4. Step 4: Simplify right side
    14,697.25x = 170,566,168.60
  5. Step 5: Solve for x
    x = 170,566,168.60/14,697.25
  6. Step 6: Final answer
    x = 11,605.31

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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.