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Finding the Fourth Proportional to 21,189.39, 31,783.06 and 8,706.34

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Solution

The fourth proportional to 21,189.39, 31,783.06 and 8,706.34 is: 13,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.39 : 31,783.06 = 8,706.34 : x
  2. Step 2: Convert to fraction form
    21,189.39/31,783.06 = 8,706.34/x
  3. Step 3: Cross multiply
    21,189.39x = 31,783.06 × 8,706.34
  4. Step 4: Simplify right side
    21,189.39x = 276,714,126.60
  5. Step 5: Solve for x
    x = 276,714,126.60/21,189.39
  6. Step 6: Final answer
    x = 13,059.09

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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.