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Finding the Fourth Proportional to 25,535.25, 35,238.66 and 14,357.25

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Solution

The fourth proportional to 25,535.25, 35,238.66 and 14,357.25 is: 19,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,535.25 : 35,238.66 = 14,357.25 : x
  2. Step 2: Convert to fraction form
    25,535.25/35,238.66 = 14,357.25/x
  3. Step 3: Cross multiply
    25,535.25x = 35,238.66 × 14,357.25
  4. Step 4: Simplify right side
    25,535.25x = 505,930,251.29
  5. Step 5: Solve for x
    x = 505,930,251.29/25,535.25
  6. Step 6: Final answer
    x = 19,813.01

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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.