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Finding the Fourth Proportional to 23,811.54, 32,858.32 and 13,740.40

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Solution

The fourth proportional to 23,811.54, 32,858.32 and 13,740.40 is: 18,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.54 : 32,858.32 = 13,740.40 : x
  2. Step 2: Convert to fraction form
    23,811.54/32,858.32 = 13,740.40/x
  3. Step 3: Cross multiply
    23,811.54x = 32,858.32 × 13,740.40
  4. Step 4: Simplify right side
    23,811.54x = 451,486,460.13
  5. Step 5: Solve for x
    x = 451,486,460.13/23,811.54
  6. Step 6: Final answer
    x = 18,960.83

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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.