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Finding the Fourth Proportional to 21,342.06, 31,994.46 and 8,203.86

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Solution

The fourth proportional to 21,342.06, 31,994.46 and 8,203.86 is: 12,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.06 : 31,994.46 = 8,203.86 : x
  2. Step 2: Convert to fraction form
    21,342.06/31,994.46 = 8,203.86/x
  3. Step 3: Cross multiply
    21,342.06x = 31,994.46 × 8,203.86
  4. Step 4: Simplify right side
    21,342.06x = 262,478,070.62
  5. Step 5: Solve for x
    x = 262,478,070.62/21,342.06
  6. Step 6: Final answer
    x = 12,298.63

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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.