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Finding the Fourth Proportional to 15,883.60, 21,921.16 and 9,171

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Solution

The fourth proportional to 15,883.60, 21,921.16 and 9,171 is: 12,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.60 : 21,921.16 = 9,171 : x
  2. Step 2: Convert to fraction form
    15,883.60/21,921.16 = 9,171/x
  3. Step 3: Cross multiply
    15,883.60x = 21,921.16 × 9,171
  4. Step 4: Simplify right side
    15,883.60x = 201,038,958.36
  5. Step 5: Solve for x
    x = 201,038,958.36/15,883.60
  6. Step 6: Final answer
    x = 12,657.01

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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.