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Finding the Fourth Proportional to 12,780.90, 17,637.21 and 7,190.82

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Solution

The fourth proportional to 12,780.90, 17,637.21 and 7,190.82 is: 9,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.90 : 17,637.21 = 7,190.82 : x
  2. Step 2: Convert to fraction form
    12,780.90/17,637.21 = 7,190.82/x
  3. Step 3: Cross multiply
    12,780.90x = 17,637.21 × 7,190.82
  4. Step 4: Simplify right side
    12,780.90x = 126,826,002.41
  5. Step 5: Solve for x
    x = 126,826,002.41/12,780.90
  6. Step 6: Final answer
    x = 9,923.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.