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Finding the Fourth Proportional to 21,104.76, 31,659.48 and 9,416.46

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Solution

The fourth proportional to 21,104.76, 31,659.48 and 9,416.46 is: 14,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.76 : 31,659.48 = 9,416.46 : x
  2. Step 2: Convert to fraction form
    21,104.76/31,659.48 = 9,416.46/x
  3. Step 3: Cross multiply
    21,104.76x = 31,659.48 × 9,416.46
  4. Step 4: Simplify right side
    21,104.76x = 298,120,227.04
  5. Step 5: Solve for x
    x = 298,120,227.04/21,104.76
  6. Step 6: Final answer
    x = 14,125.73

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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.