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Finding the Fourth Proportional to 22,813.54, 34,223.76 and 10,333.27

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Solution

The fourth proportional to 22,813.54, 34,223.76 and 10,333.27 is: 15,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.54 : 34,223.76 = 10,333.27 : x
  2. Step 2: Convert to fraction form
    22,813.54/34,223.76 = 10,333.27/x
  3. Step 3: Cross multiply
    22,813.54x = 34,223.76 × 10,333.27
  4. Step 4: Simplify right side
    22,813.54x = 353,643,352.50
  5. Step 5: Solve for x
    x = 353,643,352.50/22,813.54
  6. Step 6: Final answer
    x = 15,501.47

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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.