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Finding the Fourth Proportional to 21,141.96, 31,717.60 and 7,994.46

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Solution

The fourth proportional to 21,141.96, 31,717.60 and 7,994.46 is: 11,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.96 : 31,717.60 = 7,994.46 : x
  2. Step 2: Convert to fraction form
    21,141.96/31,717.60 = 7,994.46/x
  3. Step 3: Cross multiply
    21,141.96x = 31,717.60 × 7,994.46
  4. Step 4: Simplify right side
    21,141.96x = 253,565,084.50
  5. Step 5: Solve for x
    x = 253,565,084.50/21,141.96
  6. Step 6: Final answer
    x = 11,993.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.