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Finding the Fourth Proportional to 20,048.65, 27,670.07 and 11,549.12

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Solution

The fourth proportional to 20,048.65, 27,670.07 and 11,549.12 is: 15,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.65 : 27,670.07 = 11,549.12 : x
  2. Step 2: Convert to fraction form
    20,048.65/27,670.07 = 11,549.12/x
  3. Step 3: Cross multiply
    20,048.65x = 27,670.07 × 11,549.12
  4. Step 4: Simplify right side
    20,048.65x = 319,564,958.84
  5. Step 5: Solve for x
    x = 319,564,958.84/20,048.65
  6. Step 6: Final answer
    x = 15,939.48

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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.