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Finding the Fourth Proportional to 22,811.96, 31,483.68 and 13,383.56

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Solution

The fourth proportional to 22,811.96, 31,483.68 and 13,383.56 is: 18,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.96 : 31,483.68 = 13,383.56 : x
  2. Step 2: Convert to fraction form
    22,811.96/31,483.68 = 13,383.56/x
  3. Step 3: Cross multiply
    22,811.96x = 31,483.68 × 13,383.56
  4. Step 4: Simplify right side
    22,811.96x = 421,363,720.30
  5. Step 5: Solve for x
    x = 421,363,720.30/22,811.96
  6. Step 6: Final answer
    x = 18,471.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.