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Finding the Fourth Proportional to 25,506.12, 35,198.64 and 14,175.84

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Solution

The fourth proportional to 25,506.12, 35,198.64 and 14,175.84 is: 19,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.12 : 35,198.64 = 14,175.84 : x
  2. Step 2: Convert to fraction form
    25,506.12/35,198.64 = 14,175.84/x
  3. Step 3: Cross multiply
    25,506.12x = 35,198.64 × 14,175.84
  4. Step 4: Simplify right side
    25,506.12x = 498,970,288.86
  5. Step 5: Solve for x
    x = 498,970,288.86/25,506.12
  6. Step 6: Final answer
    x = 19,562.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.