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Finding the Fourth Proportional to 12,950.28, 19,425.42 and 8,362.44

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Solution

The fourth proportional to 12,950.28, 19,425.42 and 8,362.44 is: 12,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.28 : 19,425.42 = 8,362.44 : x
  2. Step 2: Convert to fraction form
    12,950.28/19,425.42 = 8,362.44/x
  3. Step 3: Cross multiply
    12,950.28x = 19,425.42 × 8,362.44
  4. Step 4: Simplify right side
    12,950.28x = 162,443,909.22
  5. Step 5: Solve for x
    x = 162,443,909.22/12,950.28
  6. Step 6: Final answer
    x = 12,543.66

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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.