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Finding the Fourth Proportional to 22,604.81, 31,193.38 and 12,532.66

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Solution

The fourth proportional to 22,604.81, 31,193.38 and 12,532.66 is: 17,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.81 : 31,193.38 = 12,532.66 : x
  2. Step 2: Convert to fraction form
    22,604.81/31,193.38 = 12,532.66/x
  3. Step 3: Cross multiply
    22,604.81x = 31,193.38 × 12,532.66
  4. Step 4: Simplify right side
    22,604.81x = 390,936,025.79
  5. Step 5: Solve for x
    x = 390,936,025.79/22,604.81
  6. Step 6: Final answer
    x = 17,294.37

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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.