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Finding the Fourth Proportional to 24,614.84, 33,968.20 and 14,004.48

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Solution

The fourth proportional to 24,614.84, 33,968.20 and 14,004.48 is: 19,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614.84 : 33,968.20 = 14,004.48 : x
  2. Step 2: Convert to fraction form
    24,614.84/33,968.20 = 14,004.48/x
  3. Step 3: Cross multiply
    24,614.84x = 33,968.20 × 14,004.48
  4. Step 4: Simplify right side
    24,614.84x = 475,706,977.54
  5. Step 5: Solve for x
    x = 475,706,977.54/24,614.84
  6. Step 6: Final answer
    x = 19,326.02

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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.