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Finding the Fourth Proportional to 13,045.68, 19,568.34 and 3,185.19

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Solution

The fourth proportional to 13,045.68, 19,568.34 and 3,185.19 is: 4,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.68 : 19,568.34 = 3,185.19 : x
  2. Step 2: Convert to fraction form
    13,045.68/19,568.34 = 3,185.19/x
  3. Step 3: Cross multiply
    13,045.68x = 19,568.34 × 3,185.19
  4. Step 4: Simplify right side
    13,045.68x = 62,328,880.88
  5. Step 5: Solve for x
    x = 62,328,880.88/13,045.68
  6. Step 6: Final answer
    x = 4,777.74

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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.