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Finding the Fourth Proportional to 25,136.14, 37,704.75 and 7,605.94

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Solution

The fourth proportional to 25,136.14, 37,704.75 and 7,605.94 is: 11,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,136.14 : 37,704.75 = 7,605.94 : x
  2. Step 2: Convert to fraction form
    25,136.14/37,704.75 = 7,605.94/x
  3. Step 3: Cross multiply
    25,136.14x = 37,704.75 × 7,605.94
  4. Step 4: Simplify right side
    25,136.14x = 286,780,066.22
  5. Step 5: Solve for x
    x = 286,780,066.22/25,136.14
  6. Step 6: Final answer
    x = 11,409.07

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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.