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Finding the Fourth Proportional to 18,492.74, 27,702.61 and 12,233.84

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Solution

The fourth proportional to 18,492.74, 27,702.61 and 12,233.84 is: 18,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,492.74 : 27,702.61 = 12,233.84 : x
  2. Step 2: Convert to fraction form
    18,492.74/27,702.61 = 12,233.84/x
  3. Step 3: Cross multiply
    18,492.74x = 27,702.61 × 12,233.84
  4. Step 4: Simplify right side
    18,492.74x = 338,909,129.22
  5. Step 5: Solve for x
    x = 338,909,129.22/18,492.74
  6. Step 6: Final answer
    x = 18,326.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.