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Finding the Fourth Proportional to 12,778.41, 19,185.50 and 6,542.72

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Solution

The fourth proportional to 12,778.41, 19,185.50 and 6,542.72 is: 9,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.41 : 19,185.50 = 6,542.72 : x
  2. Step 2: Convert to fraction form
    12,778.41/19,185.50 = 6,542.72/x
  3. Step 3: Cross multiply
    12,778.41x = 19,185.50 × 6,542.72
  4. Step 4: Simplify right side
    12,778.41x = 125,525,354.56
  5. Step 5: Solve for x
    x = 125,525,354.56/12,778.41
  6. Step 6: Final answer
    x = 9,823.24

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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.