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Finding the Fourth Proportional to 27,602.20, 41,409.54 and 12,021.40

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Solution

The fourth proportional to 27,602.20, 41,409.54 and 12,021.40 is: 18,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.20 : 41,409.54 = 12,021.40 : x
  2. Step 2: Convert to fraction form
    27,602.20/41,409.54 = 12,021.40/x
  3. Step 3: Cross multiply
    27,602.20x = 41,409.54 × 12,021.40
  4. Step 4: Simplify right side
    27,602.20x = 497,800,644.16
  5. Step 5: Solve for x
    x = 497,800,644.16/27,602.20
  6. Step 6: Final answer
    x = 18,034.82

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