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Finding the Fourth Proportional to 21,114.12, 31,660.93 and 7,967.51

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Solution

The fourth proportional to 21,114.12, 31,660.93 and 7,967.51 is: 11,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.12 : 31,660.93 = 7,967.51 : x
  2. Step 2: Convert to fraction form
    21,114.12/31,660.93 = 7,967.51/x
  3. Step 3: Cross multiply
    21,114.12x = 31,660.93 × 7,967.51
  4. Step 4: Simplify right side
    21,114.12x = 252,258,880.04
  5. Step 5: Solve for x
    x = 252,258,880.04/21,114.12
  6. Step 6: Final answer
    x = 11,947.40

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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.