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Finding the Fourth Proportional to 25,135.46, 34,683.09 and 14,523.05

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Solution

The fourth proportional to 25,135.46, 34,683.09 and 14,523.05 is: 20,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,135.46 : 34,683.09 = 14,523.05 : x
  2. Step 2: Convert to fraction form
    25,135.46/34,683.09 = 14,523.05/x
  3. Step 3: Cross multiply
    25,135.46x = 34,683.09 × 14,523.05
  4. Step 4: Simplify right side
    25,135.46x = 503,704,087.38
  5. Step 5: Solve for x
    x = 503,704,087.38/25,135.46
  6. Step 6: Final answer
    x = 20,039.58

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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.