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Finding the Fourth Proportional to 18,563.77, 27,848.22 and 6,084.64

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Solution

The fourth proportional to 18,563.77, 27,848.22 and 6,084.64 is: 9,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.77 : 27,848.22 = 6,084.64 : x
  2. Step 2: Convert to fraction form
    18,563.77/27,848.22 = 6,084.64/x
  3. Step 3: Cross multiply
    18,563.77x = 27,848.22 × 6,084.64
  4. Step 4: Simplify right side
    18,563.77x = 169,446,393.34
  5. Step 5: Solve for x
    x = 169,446,393.34/18,563.77
  6. Step 6: Final answer
    x = 9,127.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.