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Finding the Fourth Proportional to 14,414.31, 19,883.81 and 9,035.60

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Solution

The fourth proportional to 14,414.31, 19,883.81 and 9,035.60 is: 12,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.31 : 19,883.81 = 9,035.60 : x
  2. Step 2: Convert to fraction form
    14,414.31/19,883.81 = 9,035.60/x
  3. Step 3: Cross multiply
    14,414.31x = 19,883.81 × 9,035.60
  4. Step 4: Simplify right side
    14,414.31x = 179,662,076.81
  5. Step 5: Solve for x
    x = 179,662,076.81/14,414.31
  6. Step 6: Final answer
    x = 12,464.15

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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.