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Finding the Fourth Proportional to 13,212.41, 19,809.20 and 6,188.57

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Solution

The fourth proportional to 13,212.41, 19,809.20 and 6,188.57 is: 9,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.41 : 19,809.20 = 6,188.57 : x
  2. Step 2: Convert to fraction form
    13,212.41/19,809.20 = 6,188.57/x
  3. Step 3: Cross multiply
    13,212.41x = 19,809.20 × 6,188.57
  4. Step 4: Simplify right side
    13,212.41x = 122,590,649.86
  5. Step 5: Solve for x
    x = 122,590,649.86/13,212.41
  6. Step 6: Final answer
    x = 9,278.45

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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.