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Finding the Fourth Proportional to 13,209.74, 19,809.89 and 6,188.55

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Solution

The fourth proportional to 13,209.74, 19,809.89 and 6,188.55 is: 9,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.74 : 19,809.89 = 6,188.55 : x
  2. Step 2: Convert to fraction form
    13,209.74/19,809.89 = 6,188.55/x
  3. Step 3: Cross multiply
    13,209.74x = 19,809.89 × 6,188.55
  4. Step 4: Simplify right side
    13,209.74x = 122,594,463.82
  5. Step 5: Solve for x
    x = 122,594,463.82/13,209.74
  6. Step 6: Final answer
    x = 9,280.61

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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.