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Finding the Fourth Proportional to 12,741, 19,116.36 and 4,950.42

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Solution

The fourth proportional to 12,741, 19,116.36 and 4,950.42 is: 7,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 19,116.36 = 4,950.42 : x
  2. Step 2: Convert to fraction form
    12,741/19,116.36 = 4,950.42/x
  3. Step 3: Cross multiply
    12,741x = 19,116.36 × 4,950.42
  4. Step 4: Simplify right side
    12,741x = 94,634,010.87
  5. Step 5: Solve for x
    x = 94,634,010.87/12,741
  6. Step 6: Final answer
    x = 7,427.52

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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.