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Finding the Fourth Proportional to 12,563.93, 18,847.58 and 6,643.68

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Solution

The fourth proportional to 12,563.93, 18,847.58 and 6,643.68 is: 9,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.93 : 18,847.58 = 6,643.68 : x
  2. Step 2: Convert to fraction form
    12,563.93/18,847.58 = 6,643.68/x
  3. Step 3: Cross multiply
    12,563.93x = 18,847.58 × 6,643.68
  4. Step 4: Simplify right side
    12,563.93x = 125,217,290.29
  5. Step 5: Solve for x
    x = 125,217,290.29/12,563.93
  6. Step 6: Final answer
    x = 9,966.41

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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.