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Finding the Fourth Proportional to 22,253.52, 30,709.88 and 12,182.38

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Solution

The fourth proportional to 22,253.52, 30,709.88 and 12,182.38 is: 16,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.52 : 30,709.88 = 12,182.38 : x
  2. Step 2: Convert to fraction form
    22,253.52/30,709.88 = 12,182.38/x
  3. Step 3: Cross multiply
    22,253.52x = 30,709.88 × 12,182.38
  4. Step 4: Simplify right side
    22,253.52x = 374,119,427.91
  5. Step 5: Solve for x
    x = 374,119,427.91/22,253.52
  6. Step 6: Final answer
    x = 16,811.70

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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.