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Finding the Fourth Proportional to 21,098.34, 31,654.43 and 8,628.84

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Solution

The fourth proportional to 21,098.34, 31,654.43 and 8,628.84 is: 12,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.34 : 31,654.43 = 8,628.84 : x
  2. Step 2: Convert to fraction form
    21,098.34/31,654.43 = 8,628.84/x
  3. Step 3: Cross multiply
    21,098.34x = 31,654.43 × 8,628.84
  4. Step 4: Simplify right side
    21,098.34x = 273,141,047.75
  5. Step 5: Solve for x
    x = 273,141,047.75/21,098.34
  6. Step 6: Final answer
    x = 12,946.09

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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.