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Finding the Fourth Proportional to 13,681.34, 20,522.02 and 3,293.10

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Solution

The fourth proportional to 13,681.34, 20,522.02 and 3,293.10 is: 4,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.34 : 20,522.02 = 3,293.10 : x
  2. Step 2: Convert to fraction form
    13,681.34/20,522.02 = 3,293.10/x
  3. Step 3: Cross multiply
    13,681.34x = 20,522.02 × 3,293.10
  4. Step 4: Simplify right side
    13,681.34x = 67,581,064.06
  5. Step 5: Solve for x
    x = 67,581,064.06/13,681.34
  6. Step 6: Final answer
    x = 4,939.65

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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.