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Finding the Fourth Proportional to 25,834.38, 35,653.50 and 14,504.62

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Solution

The fourth proportional to 25,834.38, 35,653.50 and 14,504.62 is: 20,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834.38 : 35,653.50 = 14,504.62 : x
  2. Step 2: Convert to fraction form
    25,834.38/35,653.50 = 14,504.62/x
  3. Step 3: Cross multiply
    25,834.38x = 35,653.50 × 14,504.62
  4. Step 4: Simplify right side
    25,834.38x = 517,140,469.17
  5. Step 5: Solve for x
    x = 517,140,469.17/25,834.38
  6. Step 6: Final answer
    x = 20,017.53

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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.