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Finding the Fourth Proportional to 13,149.80, 19,724.70 and 6,129.80

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Solution

The fourth proportional to 13,149.80, 19,724.70 and 6,129.80 is: 9,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.80 : 19,724.70 = 6,129.80 : x
  2. Step 2: Convert to fraction form
    13,149.80/19,724.70 = 6,129.80/x
  3. Step 3: Cross multiply
    13,149.80x = 19,724.70 × 6,129.80
  4. Step 4: Simplify right side
    13,149.80x = 120,908,466.06
  5. Step 5: Solve for x
    x = 120,908,466.06/13,149.80
  6. Step 6: Final answer
    x = 9,194.70

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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.