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Finding the Fourth Proportional to 16,257.69, 24,390.90 and 6,898.10

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Solution

The fourth proportional to 16,257.69, 24,390.90 and 6,898.10 is: 10,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.69 : 24,390.90 = 6,898.10 : x
  2. Step 2: Convert to fraction form
    16,257.69/24,390.90 = 6,898.10/x
  3. Step 3: Cross multiply
    16,257.69x = 24,390.90 × 6,898.10
  4. Step 4: Simplify right side
    16,257.69x = 168,250,745.34
  5. Step 5: Solve for x
    x = 168,250,745.34/16,257.69
  6. Step 6: Final answer
    x = 10,348.99

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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.