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Finding the Fourth Proportional to 25,538.82, 35,244.90 and 14,208.36

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Solution

The fourth proportional to 25,538.82, 35,244.90 and 14,208.36 is: 19,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.82 : 35,244.90 = 14,208.36 : x
  2. Step 2: Convert to fraction form
    25,538.82/35,244.90 = 14,208.36/x
  3. Step 3: Cross multiply
    25,538.82x = 35,244.90 × 14,208.36
  4. Step 4: Simplify right side
    25,538.82x = 500,772,227.36
  5. Step 5: Solve for x
    x = 500,772,227.36/25,538.82
  6. Step 6: Final answer
    x = 19,608.28

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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.