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Finding the Fourth Proportional to 20,998.96, 31,498.50 and 14,405.15

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Solution

The fourth proportional to 20,998.96, 31,498.50 and 14,405.15 is: 21,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.96 : 31,498.50 = 14,405.15 : x
  2. Step 2: Convert to fraction form
    20,998.96/31,498.50 = 14,405.15/x
  3. Step 3: Cross multiply
    20,998.96x = 31,498.50 × 14,405.15
  4. Step 4: Simplify right side
    20,998.96x = 453,740,750.04
  5. Step 5: Solve for x
    x = 453,740,750.04/20,998.96
  6. Step 6: Final answer
    x = 21,607.78

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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.