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Finding the Fourth Proportional to 19,549.38, 26,941.97 and 13,884.38

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Solution

The fourth proportional to 19,549.38, 26,941.97 and 13,884.38 is: 19,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.38 : 26,941.97 = 13,884.38 : x
  2. Step 2: Convert to fraction form
    19,549.38/26,941.97 = 13,884.38/x
  3. Step 3: Cross multiply
    19,549.38x = 26,941.97 × 13,884.38
  4. Step 4: Simplify right side
    19,549.38x = 374,072,345.30
  5. Step 5: Solve for x
    x = 374,072,345.30/19,549.38
  6. Step 6: Final answer
    x = 19,134.74

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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.