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Finding the Fourth Proportional to 24,289.41, 33,516.42 and 14,080.41

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Solution

The fourth proportional to 24,289.41, 33,516.42 and 14,080.41 is: 19,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.41 : 33,516.42 = 14,080.41 : x
  2. Step 2: Convert to fraction form
    24,289.41/33,516.42 = 14,080.41/x
  3. Step 3: Cross multiply
    24,289.41x = 33,516.42 × 14,080.41
  4. Step 4: Simplify right side
    24,289.41x = 471,924,935.33
  5. Step 5: Solve for x
    x = 471,924,935.33/24,289.41
  6. Step 6: Final answer
    x = 19,429.25

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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.