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Finding the Fourth Proportional to 21,330.60, 31,968.90 and 8,165.40

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Solution

The fourth proportional to 21,330.60, 31,968.90 and 8,165.40 is: 12,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330.60 : 31,968.90 = 8,165.40 : x
  2. Step 2: Convert to fraction form
    21,330.60/31,968.90 = 8,165.40/x
  3. Step 3: Cross multiply
    21,330.60x = 31,968.90 × 8,165.40
  4. Step 4: Simplify right side
    21,330.60x = 261,038,856.06
  5. Step 5: Solve for x
    x = 261,038,856.06/21,330.60
  6. Step 6: Final answer
    x = 12,237.76

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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.