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Finding the Fourth Proportional to 23,493.60, 32,419.32 and 13,420.66

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Solution

The fourth proportional to 23,493.60, 32,419.32 and 13,420.66 is: 18,519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.60 : 32,419.32 = 13,420.66 : x
  2. Step 2: Convert to fraction form
    23,493.60/32,419.32 = 13,420.66/x
  3. Step 3: Cross multiply
    23,493.60x = 32,419.32 × 13,420.66
  4. Step 4: Simplify right side
    23,493.60x = 435,088,671.15
  5. Step 5: Solve for x
    x = 435,088,671.15/23,493.60
  6. Step 6: Final answer
    x = 18,519.46

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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.