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Finding the Fourth Proportional to 23,741.69, 32,770.01 and 14,783.90

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Solution

The fourth proportional to 23,741.69, 32,770.01 and 14,783.90 is: 20,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,741.69 : 32,770.01 = 14,783.90 : x
  2. Step 2: Convert to fraction form
    23,741.69/32,770.01 = 14,783.90/x
  3. Step 3: Cross multiply
    23,741.69x = 32,770.01 × 14,783.90
  4. Step 4: Simplify right side
    23,741.69x = 484,468,476.92
  5. Step 5: Solve for x
    x = 484,468,476.92/23,741.69
  6. Step 6: Final answer
    x = 20,405.81

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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.