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Finding the Fourth Proportional to 25,527.50, 35,229.12 and 14,198.14

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Solution

The fourth proportional to 25,527.50, 35,229.12 and 14,198.14 is: 19,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.50 : 35,229.12 = 14,198.14 : x
  2. Step 2: Convert to fraction form
    25,527.50/35,229.12 = 14,198.14/x
  3. Step 3: Cross multiply
    25,527.50x = 35,229.12 × 14,198.14
  4. Step 4: Simplify right side
    25,527.50x = 500,187,977.84
  5. Step 5: Solve for x
    x = 500,187,977.84/25,527.50
  6. Step 6: Final answer
    x = 19,594.08

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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.