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Finding the Fourth Proportional to 17,936.81, 24,752.08 and 9,978.86

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Solution

The fourth proportional to 17,936.81, 24,752.08 and 9,978.86 is: 13,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,936.81 : 24,752.08 = 9,978.86 : x
  2. Step 2: Convert to fraction form
    17,936.81/24,752.08 = 9,978.86/x
  3. Step 3: Cross multiply
    17,936.81x = 24,752.08 × 9,978.86
  4. Step 4: Simplify right side
    17,936.81x = 246,997,615.38
  5. Step 5: Solve for x
    x = 246,997,615.38/17,936.81
  6. Step 6: Final answer
    x = 13,770.43

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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.