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Finding the Fourth Proportional to 27,912, 38,518.56 and 16,736.16

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Solution

The fourth proportional to 27,912, 38,518.56 and 16,736.16 is: 23,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 38,518.56 = 16,736.16 : x
  2. Step 2: Convert to fraction form
    27,912/38,518.56 = 16,736.16/x
  3. Step 3: Cross multiply
    27,912x = 38,518.56 × 16,736.16
  4. Step 4: Simplify right side
    27,912x = 644,652,783.13
  5. Step 5: Solve for x
    x = 644,652,783.13/27,912
  6. Step 6: Final answer
    x = 23,095.90

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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.