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Finding the Fourth Proportional to 12,950.42, 19,422.74 and 5,053.14

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Solution

The fourth proportional to 12,950.42, 19,422.74 and 5,053.14 is: 7,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.42 : 19,422.74 = 5,053.14 : x
  2. Step 2: Convert to fraction form
    12,950.42/19,422.74 = 5,053.14/x
  3. Step 3: Cross multiply
    12,950.42x = 19,422.74 × 5,053.14
  4. Step 4: Simplify right side
    12,950.42x = 98,145,824.40
  5. Step 5: Solve for x
    x = 98,145,824.40/12,950.42
  6. Step 6: Final answer
    x = 7,578.59

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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.