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Finding the Fourth Proportional to 18,136.14, 25,029.07 and 10,178.90

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Solution

The fourth proportional to 18,136.14, 25,029.07 and 10,178.90 is: 14,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.14 : 25,029.07 = 10,178.90 : x
  2. Step 2: Convert to fraction form
    18,136.14/25,029.07 = 10,178.90/x
  3. Step 3: Cross multiply
    18,136.14x = 25,029.07 × 10,178.90
  4. Step 4: Simplify right side
    18,136.14x = 254,768,343.89
  5. Step 5: Solve for x
    x = 254,768,343.89/18,136.14
  6. Step 6: Final answer
    x = 14,047.55

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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.