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Finding the Fourth Proportional to 27,549.76, 38,018.32 and 14,974.24

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Solution

The fourth proportional to 27,549.76, 38,018.32 and 14,974.24 is: 20,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549.76 : 38,018.32 = 14,974.24 : x
  2. Step 2: Convert to fraction form
    27,549.76/38,018.32 = 14,974.24/x
  3. Step 3: Cross multiply
    27,549.76x = 38,018.32 × 14,974.24
  4. Step 4: Simplify right side
    27,549.76x = 569,295,448.08
  5. Step 5: Solve for x
    x = 569,295,448.08/27,549.76
  6. Step 6: Final answer
    x = 20,664.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.