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Finding the Fourth Proportional to 24,576.96, 33,916.32 and 13,398.88

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Solution

The fourth proportional to 24,576.96, 33,916.32 and 13,398.88 is: 18,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.96 : 33,916.32 = 13,398.88 : x
  2. Step 2: Convert to fraction form
    24,576.96/33,916.32 = 13,398.88/x
  3. Step 3: Cross multiply
    24,576.96x = 33,916.32 × 13,398.88
  4. Step 4: Simplify right side
    24,576.96x = 454,440,701.72
  5. Step 5: Solve for x
    x = 454,440,701.72/24,576.96
  6. Step 6: Final answer
    x = 18,490.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.