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Finding the Fourth Proportional to 13,681.40, 20,522.09 and 3,293.15

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Solution

The fourth proportional to 13,681.40, 20,522.09 and 3,293.15 is: 4,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.40 : 20,522.09 = 3,293.15 : x
  2. Step 2: Convert to fraction form
    13,681.40/20,522.09 = 3,293.15/x
  3. Step 3: Cross multiply
    13,681.40x = 20,522.09 × 3,293.15
  4. Step 4: Simplify right side
    13,681.40x = 67,582,226.31
  5. Step 5: Solve for x
    x = 67,582,226.31/13,681.40
  6. Step 6: Final answer
    x = 4,939.72

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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.