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Finding the Fourth Proportional to 16,281.71, 24,421.82 and 6,790.11

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Solution

The fourth proportional to 16,281.71, 24,421.82 and 6,790.11 is: 10,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.71 : 24,421.82 = 6,790.11 : x
  2. Step 2: Convert to fraction form
    16,281.71/24,421.82 = 6,790.11/x
  3. Step 3: Cross multiply
    16,281.71x = 24,421.82 × 6,790.11
  4. Step 4: Simplify right side
    16,281.71x = 165,826,861.18
  5. Step 5: Solve for x
    x = 165,826,861.18/16,281.71
  6. Step 6: Final answer
    x = 10,184.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.