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Finding the Fourth Proportional to 24,827.09, 37,232.73 and 8,184.02

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Solution

The fourth proportional to 24,827.09, 37,232.73 and 8,184.02 is: 12,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.09 : 37,232.73 = 8,184.02 : x
  2. Step 2: Convert to fraction form
    24,827.09/37,232.73 = 8,184.02/x
  3. Step 3: Cross multiply
    24,827.09x = 37,232.73 × 8,184.02
  4. Step 4: Simplify right side
    24,827.09x = 304,713,220.81
  5. Step 5: Solve for x
    x = 304,713,220.81/24,827.09
  6. Step 6: Final answer
    x = 12,273.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.