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Finding the Fourth Proportional to 13,379.36, 20,070.66 and 6,449

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Solution

The fourth proportional to 13,379.36, 20,070.66 and 6,449 is: 9,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.36 : 20,070.66 = 6,449 : x
  2. Step 2: Convert to fraction form
    13,379.36/20,070.66 = 6,449/x
  3. Step 3: Cross multiply
    13,379.36x = 20,070.66 × 6,449
  4. Step 4: Simplify right side
    13,379.36x = 129,435,686.34
  5. Step 5: Solve for x
    x = 129,435,686.34/13,379.36
  6. Step 6: Final answer
    x = 9,674.28

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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.