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Finding the Fourth Proportional to 25,568.68, 35,284.69 and 14,238.32

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Solution

The fourth proportional to 25,568.68, 35,284.69 and 14,238.32 is: 19,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.68 : 35,284.69 = 14,238.32 : x
  2. Step 2: Convert to fraction form
    25,568.68/35,284.69 = 14,238.32/x
  3. Step 3: Cross multiply
    25,568.68x = 35,284.69 × 14,238.32
  4. Step 4: Simplify right side
    25,568.68x = 502,394,707.32
  5. Step 5: Solve for x
    x = 502,394,707.32/25,568.68
  6. Step 6: Final answer
    x = 19,648.83

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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.