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Finding the Fourth Proportional to 13,706.12, 20,542.98 and 6,303.80

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Solution

The fourth proportional to 13,706.12, 20,542.98 and 6,303.80 is: 9,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.12 : 20,542.98 = 6,303.80 : x
  2. Step 2: Convert to fraction form
    13,706.12/20,542.98 = 6,303.80/x
  3. Step 3: Cross multiply
    13,706.12x = 20,542.98 × 6,303.80
  4. Step 4: Simplify right side
    13,706.12x = 129,498,837.32
  5. Step 5: Solve for x
    x = 129,498,837.32/13,706.12
  6. Step 6: Final answer
    x = 9,448.25

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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.