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Finding the Fourth Proportional to 10,420.92, 14,295.24 and 9,855.99

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Solution

The fourth proportional to 10,420.92, 14,295.24 and 9,855.99 is: 13,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.92 : 14,295.24 = 9,855.99 : x
  2. Step 2: Convert to fraction form
    10,420.92/14,295.24 = 9,855.99/x
  3. Step 3: Cross multiply
    10,420.92x = 14,295.24 × 9,855.99
  4. Step 4: Simplify right side
    10,420.92x = 140,893,742.49
  5. Step 5: Solve for x
    x = 140,893,742.49/10,420.92
  6. Step 6: Final answer
    x = 13,520.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.