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Finding the Fourth Proportional to 20,952.12, 31,428.10 and 8,471.99

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Solution

The fourth proportional to 20,952.12, 31,428.10 and 8,471.99 is: 12,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.12 : 31,428.10 = 8,471.99 : x
  2. Step 2: Convert to fraction form
    20,952.12/31,428.10 = 8,471.99/x
  3. Step 3: Cross multiply
    20,952.12x = 31,428.10 × 8,471.99
  4. Step 4: Simplify right side
    20,952.12x = 266,258,590.42
  5. Step 5: Solve for x
    x = 266,258,590.42/20,952.12
  6. Step 6: Final answer
    x = 12,707.96

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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.