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Finding the Fourth Proportional to 22,384.72, 33,576.96 and 10,695.04

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Solution

The fourth proportional to 22,384.72, 33,576.96 and 10,695.04 is: 16,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.72 : 33,576.96 = 10,695.04 : x
  2. Step 2: Convert to fraction form
    22,384.72/33,576.96 = 10,695.04/x
  3. Step 3: Cross multiply
    22,384.72x = 33,576.96 × 10,695.04
  4. Step 4: Simplify right side
    22,384.72x = 359,106,930.28
  5. Step 5: Solve for x
    x = 359,106,930.28/22,384.72
  6. Step 6: Final answer
    x = 16,042.50

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Why These Related Problems?

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