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Finding the Fourth Proportional to 23,493.79, 32,419.56 and 13,420.81

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Solution

The fourth proportional to 23,493.79, 32,419.56 and 13,420.81 is: 18,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.79 : 32,419.56 = 13,420.81 : x
  2. Step 2: Convert to fraction form
    23,493.79/32,419.56 = 13,420.81/x
  3. Step 3: Cross multiply
    23,493.79x = 32,419.56 × 13,420.81
  4. Step 4: Simplify right side
    23,493.79x = 435,096,755.04
  5. Step 5: Solve for x
    x = 435,096,755.04/23,493.79
  6. Step 6: Final answer
    x = 18,519.65

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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.