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Finding the Fourth Proportional to 20,998.79, 31,498.79 and 5,416.41

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Solution

The fourth proportional to 20,998.79, 31,498.79 and 5,416.41 is: 8,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.79 : 31,498.79 = 5,416.41 : x
  2. Step 2: Convert to fraction form
    20,998.79/31,498.79 = 5,416.41/x
  3. Step 3: Cross multiply
    20,998.79x = 31,498.79 × 5,416.41
  4. Step 4: Simplify right side
    20,998.79x = 170,610,334.06
  5. Step 5: Solve for x
    x = 170,610,334.06/20,998.79
  6. Step 6: Final answer
    x = 8,124.77

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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.