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Finding the Fourth Proportional to 22,632.49, 31,232.24 and 12,560.67

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Solution

The fourth proportional to 22,632.49, 31,232.24 and 12,560.67 is: 17,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.49 : 31,232.24 = 12,560.67 : x
  2. Step 2: Convert to fraction form
    22,632.49/31,232.24 = 12,560.67/x
  3. Step 3: Cross multiply
    22,632.49x = 31,232.24 × 12,560.67
  4. Step 4: Simplify right side
    22,632.49x = 392,297,853.13
  5. Step 5: Solve for x
    x = 392,297,853.13/22,632.49
  6. Step 6: Final answer
    x = 17,333.39

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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.