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Finding the Fourth Proportional to 25,505.38, 35,197.74 and 14,175.58

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Solution

The fourth proportional to 25,505.38, 35,197.74 and 14,175.58 is: 19,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,505.38 : 35,197.74 = 14,175.58 : x
  2. Step 2: Convert to fraction form
    25,505.38/35,197.74 = 14,175.58/x
  3. Step 3: Cross multiply
    25,505.38x = 35,197.74 × 14,175.58
  4. Step 4: Simplify right side
    25,505.38x = 498,948,379.19
  5. Step 5: Solve for x
    x = 498,948,379.19/25,505.38
  6. Step 6: Final answer
    x = 19,562.48

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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.