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Finding the Fourth Proportional to 12,490, 18,723.96 and 6,568.69

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Solution

The fourth proportional to 12,490, 18,723.96 and 6,568.69 is: 9,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490 : 18,723.96 = 6,568.69 : x
  2. Step 2: Convert to fraction form
    12,490/18,723.96 = 6,568.69/x
  3. Step 3: Cross multiply
    12,490x = 18,723.96 × 6,568.69
  4. Step 4: Simplify right side
    12,490x = 122,991,888.81
  5. Step 5: Solve for x
    x = 122,991,888.81/12,490
  6. Step 6: Final answer
    x = 9,847.23

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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.