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Finding the Fourth Proportional to 14,643.20, 20,204.16 and 8,357.60

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Solution

The fourth proportional to 14,643.20, 20,204.16 and 8,357.60 is: 11,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.20 : 20,204.16 = 8,357.60 : x
  2. Step 2: Convert to fraction form
    14,643.20/20,204.16 = 8,357.60/x
  3. Step 3: Cross multiply
    14,643.20x = 20,204.16 × 8,357.60
  4. Step 4: Simplify right side
    14,643.20x = 168,858,287.62
  5. Step 5: Solve for x
    x = 168,858,287.62/14,643.20
  6. Step 6: Final answer
    x = 11,531.52

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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.