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Finding the Fourth Proportional to 18,549.45, 27,824.18 and 13,009.05

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Solution

The fourth proportional to 18,549.45, 27,824.18 and 13,009.05 is: 19,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.45 : 27,824.18 = 13,009.05 : x
  2. Step 2: Convert to fraction form
    18,549.45/27,824.18 = 13,009.05/x
  3. Step 3: Cross multiply
    18,549.45x = 27,824.18 × 13,009.05
  4. Step 4: Simplify right side
    18,549.45x = 361,966,083.78
  5. Step 5: Solve for x
    x = 361,966,083.78/18,549.45
  6. Step 6: Final answer
    x = 19,513.58

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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.