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Finding the Fourth Proportional to 13,642.08, 20,463.14 and 4,282.94

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Solution

The fourth proportional to 13,642.08, 20,463.14 and 4,282.94 is: 6,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.08 : 20,463.14 = 4,282.94 : x
  2. Step 2: Convert to fraction form
    13,642.08/20,463.14 = 4,282.94/x
  3. Step 3: Cross multiply
    13,642.08x = 20,463.14 × 4,282.94
  4. Step 4: Simplify right side
    13,642.08x = 87,642,400.83
  5. Step 5: Solve for x
    x = 87,642,400.83/13,642.08
  6. Step 6: Final answer
    x = 6,424.42

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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.