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Finding the Fourth Proportional to 12,950.16, 19,427.20 and 5,158.56

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Solution

The fourth proportional to 12,950.16, 19,427.20 and 5,158.56 is: 7,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.16 : 19,427.20 = 5,158.56 : x
  2. Step 2: Convert to fraction form
    12,950.16/19,427.20 = 5,158.56/x
  3. Step 3: Cross multiply
    12,950.16x = 19,427.20 × 5,158.56
  4. Step 4: Simplify right side
    12,950.16x = 100,216,376.83
  5. Step 5: Solve for x
    x = 100,216,376.83/12,950.16
  6. Step 6: Final answer
    x = 7,738.62

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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.