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Finding the Fourth Proportional to 18,432.52, 27,634.16 and 18,409.84

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Solution

The fourth proportional to 18,432.52, 27,634.16 and 18,409.84 is: 27,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.52 : 27,634.16 = 18,409.84 : x
  2. Step 2: Convert to fraction form
    18,432.52/27,634.16 = 18,409.84/x
  3. Step 3: Cross multiply
    18,432.52x = 27,634.16 × 18,409.84
  4. Step 4: Simplify right side
    18,432.52x = 508,740,464.13
  5. Step 5: Solve for x
    x = 508,740,464.13/18,432.52
  6. Step 6: Final answer
    x = 27,600.16

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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.