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Finding the Fourth Proportional to 25,146.36, 37,715.49 and 8,506.08

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Solution

The fourth proportional to 25,146.36, 37,715.49 and 8,506.08 is: 12,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.36 : 37,715.49 = 8,506.08 : x
  2. Step 2: Convert to fraction form
    25,146.36/37,715.49 = 8,506.08/x
  3. Step 3: Cross multiply
    25,146.36x = 37,715.49 × 8,506.08
  4. Step 4: Simplify right side
    25,146.36x = 320,810,975.18
  5. Step 5: Solve for x
    x = 320,810,975.18/25,146.36
  6. Step 6: Final answer
    x = 12,757.75

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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.