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Finding the Fourth Proportional to 18,534.30, 27,801.48 and 6,842.76

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Solution

The fourth proportional to 18,534.30, 27,801.48 and 6,842.76 is: 10,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.30 : 27,801.48 = 6,842.76 : x
  2. Step 2: Convert to fraction form
    18,534.30/27,801.48 = 6,842.76/x
  3. Step 3: Cross multiply
    18,534.30x = 27,801.48 × 6,842.76
  4. Step 4: Simplify right side
    18,534.30x = 190,238,855.28
  5. Step 5: Solve for x
    x = 190,238,855.28/18,534.30
  6. Step 6: Final answer
    x = 10,264.15

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