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Finding the Fourth Proportional to 21,311.60, 31,967.40 and 12,095.60

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Solution

The fourth proportional to 21,311.60, 31,967.40 and 12,095.60 is: 18,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.60 : 31,967.40 = 12,095.60 : x
  2. Step 2: Convert to fraction form
    21,311.60/31,967.40 = 12,095.60/x
  3. Step 3: Cross multiply
    21,311.60x = 31,967.40 × 12,095.60
  4. Step 4: Simplify right side
    21,311.60x = 386,664,883.44
  5. Step 5: Solve for x
    x = 386,664,883.44/21,311.60
  6. Step 6: Final answer
    x = 18,143.40

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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.