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Finding the Fourth Proportional to 22,102.84, 30,503.28 and 12,672.82

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Solution

The fourth proportional to 22,102.84, 30,503.28 and 12,672.82 is: 17,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.84 : 30,503.28 = 12,672.82 : x
  2. Step 2: Convert to fraction form
    22,102.84/30,503.28 = 12,672.82/x
  3. Step 3: Cross multiply
    22,102.84x = 30,503.28 × 12,672.82
  4. Step 4: Simplify right side
    22,102.84x = 386,562,576.85
  5. Step 5: Solve for x
    x = 386,562,576.85/22,102.84
  6. Step 6: Final answer
    x = 17,489.27

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1.5x scale

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.