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Finding the Fourth Proportional to 27,549.34, 38,018.34 and 14,974.12

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Solution

The fourth proportional to 27,549.34, 38,018.34 and 14,974.12 is: 20,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.34 : 38,018.34 = 14,974.12 : x
  2. Step 2: Convert to fraction form
    27,549.34/38,018.34 = 14,974.12/x
  3. Step 3: Cross multiply
    27,549.34x = 38,018.34 × 14,974.12
  4. Step 4: Simplify right side
    27,549.34x = 569,291,185.36
  5. Step 5: Solve for x
    x = 569,291,185.36/27,549.34
  6. Step 6: Final answer
    x = 20,664.42

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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.