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Finding the Fourth Proportional to 21,319.96, 31,979.96 and 7,996

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Solution

The fourth proportional to 21,319.96, 31,979.96 and 7,996 is: 11,994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,319.96 : 31,979.96 = 7,996 : x
  2. Step 2: Convert to fraction form
    21,319.96/31,979.96 = 7,996/x
  3. Step 3: Cross multiply
    21,319.96x = 31,979.96 × 7,996
  4. Step 4: Simplify right side
    21,319.96x = 255,711,760.16
  5. Step 5: Solve for x
    x = 255,711,760.16/21,319.96
  6. Step 6: Final answer
    x = 11,994.01

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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.