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Finding the Fourth Proportional to 14,134.40, 21,201.60 and 9,965.60

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Solution

The fourth proportional to 14,134.40, 21,201.60 and 9,965.60 is: 14,948.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.40 : 21,201.60 = 9,965.60 : x
  2. Step 2: Convert to fraction form
    14,134.40/21,201.60 = 9,965.60/x
  3. Step 3: Cross multiply
    14,134.40x = 21,201.60 × 9,965.60
  4. Step 4: Simplify right side
    14,134.40x = 211,286,664.96
  5. Step 5: Solve for x
    x = 211,286,664.96/14,134.40
  6. Step 6: Final answer
    x = 14,948.40

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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.