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Finding the Fourth Proportional to 12,642.04, 18,963.18 and 4,849

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Solution

The fourth proportional to 12,642.04, 18,963.18 and 4,849 is: 7,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.04 : 18,963.18 = 4,849 : x
  2. Step 2: Convert to fraction form
    12,642.04/18,963.18 = 4,849/x
  3. Step 3: Cross multiply
    12,642.04x = 18,963.18 × 4,849
  4. Step 4: Simplify right side
    12,642.04x = 91,952,459.82
  5. Step 5: Solve for x
    x = 91,952,459.82/12,642.04
  6. Step 6: Final answer
    x = 7,273.55

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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.