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Finding the Fourth Proportional to 22,308.34, 30,784.95 and 12,747.61

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Solution

The fourth proportional to 22,308.34, 30,784.95 and 12,747.61 is: 17,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.34 : 30,784.95 = 12,747.61 : x
  2. Step 2: Convert to fraction form
    22,308.34/30,784.95 = 12,747.61/x
  3. Step 3: Cross multiply
    22,308.34x = 30,784.95 × 12,747.61
  4. Step 4: Simplify right side
    22,308.34x = 392,434,549.69
  5. Step 5: Solve for x
    x = 392,434,549.69/22,308.34
  6. Step 6: Final answer
    x = 17,591.39

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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.