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Finding the Fourth Proportional to 19,952.56, 29,950.72 and 8,274

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Solution

The fourth proportional to 19,952.56, 29,950.72 and 8,274 is: 12,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.56 : 29,950.72 = 8,274 : x
  2. Step 2: Convert to fraction form
    19,952.56/29,950.72 = 8,274/x
  3. Step 3: Cross multiply
    19,952.56x = 29,950.72 × 8,274
  4. Step 4: Simplify right side
    19,952.56x = 247,812,257.28
  5. Step 5: Solve for x
    x = 247,812,257.28/19,952.56
  6. Step 6: Final answer
    x = 12,420.07

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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.