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Finding the Fourth Proportional to 21,189.73, 31,783.19 and 8,706.52

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Solution

The fourth proportional to 21,189.73, 31,783.19 and 8,706.52 is: 13,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.73 : 31,783.19 = 8,706.52 : x
  2. Step 2: Convert to fraction form
    21,189.73/31,783.19 = 8,706.52/x
  3. Step 3: Cross multiply
    21,189.73x = 31,783.19 × 8,706.52
  4. Step 4: Simplify right side
    21,189.73x = 276,720,935.87
  5. Step 5: Solve for x
    x = 276,720,935.87/21,189.73
  6. Step 6: Final answer
    x = 13,059.20

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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.