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Finding the Fourth Proportional to 18,136.10, 25,027.68 and 10,178.30

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Solution

The fourth proportional to 18,136.10, 25,027.68 and 10,178.30 is: 14,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.10 : 25,027.68 = 10,178.30 : x
  2. Step 2: Convert to fraction form
    18,136.10/25,027.68 = 10,178.30/x
  3. Step 3: Cross multiply
    18,136.10x = 25,027.68 × 10,178.30
  4. Step 4: Simplify right side
    18,136.10x = 254,739,235.34
  5. Step 5: Solve for x
    x = 254,739,235.34/18,136.10
  6. Step 6: Final answer
    x = 14,045.98

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