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Finding the Fourth Proportional to 22,841.79, 34,280 and 9,703.38

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Solution

The fourth proportional to 22,841.79, 34,280 and 9,703.38 is: 14,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.79 : 34,280 = 9,703.38 : x
  2. Step 2: Convert to fraction form
    22,841.79/34,280 = 9,703.38/x
  3. Step 3: Cross multiply
    22,841.79x = 34,280 × 9,703.38
  4. Step 4: Simplify right side
    22,841.79x = 332,631,866.40
  5. Step 5: Solve for x
    x = 332,631,866.40/22,841.79
  6. Step 6: Final answer
    x = 14,562.43

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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.