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Finding the Fourth Proportional to 23,737.68, 32,757.81 and 14,181.90

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Solution

The fourth proportional to 23,737.68, 32,757.81 and 14,181.90 is: 19,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.68 : 32,757.81 = 14,181.90 : x
  2. Step 2: Convert to fraction form
    23,737.68/32,757.81 = 14,181.90/x
  3. Step 3: Cross multiply
    23,737.68x = 32,757.81 × 14,181.90
  4. Step 4: Simplify right side
    23,737.68x = 464,567,985.64
  5. Step 5: Solve for x
    x = 464,567,985.64/23,737.68
  6. Step 6: Final answer
    x = 19,570.91

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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.