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Finding the Fourth Proportional to 20,952.84, 31,429.11 and 8,472.72

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Solution

The fourth proportional to 20,952.84, 31,429.11 and 8,472.72 is: 12,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.84 : 31,429.11 = 8,472.72 : x
  2. Step 2: Convert to fraction form
    20,952.84/31,429.11 = 8,472.72/x
  3. Step 3: Cross multiply
    20,952.84x = 31,429.11 × 8,472.72
  4. Step 4: Simplify right side
    20,952.84x = 266,290,021.72
  5. Step 5: Solve for x
    x = 266,290,021.72/20,952.84
  6. Step 6: Final answer
    x = 12,709.02

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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.