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Finding the Fourth Proportional to 12,643.47, 18,964.06 and 5,623.81

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Solution

The fourth proportional to 12,643.47, 18,964.06 and 5,623.81 is: 8,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.47 : 18,964.06 = 5,623.81 : x
  2. Step 2: Convert to fraction form
    12,643.47/18,964.06 = 5,623.81/x
  3. Step 3: Cross multiply
    12,643.47x = 18,964.06 × 5,623.81
  4. Step 4: Simplify right side
    12,643.47x = 106,650,208.80
  5. Step 5: Solve for x
    x = 106,650,208.80/12,643.47
  6. Step 6: Final answer
    x = 8,435.20

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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.