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Finding the Fourth Proportional to 14,852, 20,495.76 and 8,883.92

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Solution

The fourth proportional to 14,852, 20,495.76 and 8,883.92 is: 12,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852 : 20,495.76 = 8,883.92 : x
  2. Step 2: Convert to fraction form
    14,852/20,495.76 = 8,883.92/x
  3. Step 3: Cross multiply
    14,852x = 20,495.76 × 8,883.92
  4. Step 4: Simplify right side
    14,852x = 182,082,692.18
  5. Step 5: Solve for x
    x = 182,082,692.18/14,852
  6. Step 6: Final answer
    x = 12,259.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.