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Finding the Fourth Proportional to 24,576.57, 33,916.47 and 13,823.31

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Solution

The fourth proportional to 24,576.57, 33,916.47 and 13,823.31 is: 19,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.57 : 33,916.47 = 13,823.31 : x
  2. Step 2: Convert to fraction form
    24,576.57/33,916.47 = 13,823.31/x
  3. Step 3: Cross multiply
    24,576.57x = 33,916.47 × 13,823.31
  4. Step 4: Simplify right side
    24,576.57x = 468,837,878.92
  5. Step 5: Solve for x
    x = 468,837,878.92/24,576.57
  6. Step 6: Final answer
    x = 19,076.62

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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.