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Finding the Fourth Proportional to 24,576.38, 33,914.22 and 14,510.78

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Solution

The fourth proportional to 24,576.38, 33,914.22 and 14,510.78 is: 20,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.38 : 33,914.22 = 14,510.78 : x
  2. Step 2: Convert to fraction form
    24,576.38/33,914.22 = 14,510.78/x
  3. Step 3: Cross multiply
    24,576.38x = 33,914.22 × 14,510.78
  4. Step 4: Simplify right side
    24,576.38x = 492,121,785.29
  5. Step 5: Solve for x
    x = 492,121,785.29/24,576.38
  6. Step 6: Final answer
    x = 20,024.18

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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.