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Finding the Fourth Proportional to 24,594.65, 33,939.87 and 13,840.12

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Solution

The fourth proportional to 24,594.65, 33,939.87 and 13,840.12 is: 19,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.65 : 33,939.87 = 13,840.12 : x
  2. Step 2: Convert to fraction form
    24,594.65/33,939.87 = 13,840.12/x
  3. Step 3: Cross multiply
    24,594.65x = 33,939.87 × 13,840.12
  4. Step 4: Simplify right side
    24,594.65x = 469,731,958.43
  5. Step 5: Solve for x
    x = 469,731,958.43/24,594.65
  6. Step 6: Final answer
    x = 19,098.95

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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.