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Finding the Fourth Proportional to 16,281.24, 24,421.92 and 3,969.24

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Solution

The fourth proportional to 16,281.24, 24,421.92 and 3,969.24 is: 5,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.24 : 24,421.92 = 3,969.24 : x
  2. Step 2: Convert to fraction form
    16,281.24/24,421.92 = 3,969.24/x
  3. Step 3: Cross multiply
    16,281.24x = 24,421.92 × 3,969.24
  4. Step 4: Simplify right side
    16,281.24x = 96,936,461.74
  5. Step 5: Solve for x
    x = 96,936,461.74/16,281.24
  6. Step 6: Final answer
    x = 5,953.87

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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.