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Finding the Fourth Proportional to 13,090.86, 19,638.11 and 4,206.45

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Solution

The fourth proportional to 13,090.86, 19,638.11 and 4,206.45 is: 6,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.86 : 19,638.11 = 4,206.45 : x
  2. Step 2: Convert to fraction form
    13,090.86/19,638.11 = 4,206.45/x
  3. Step 3: Cross multiply
    13,090.86x = 19,638.11 × 4,206.45
  4. Step 4: Simplify right side
    13,090.86x = 82,606,706.78
  5. Step 5: Solve for x
    x = 82,606,706.78/13,090.86
  6. Step 6: Final answer
    x = 6,310.26

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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.