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Finding the Fourth Proportional to 25,982.49, 35,855.86 and 14,045.83

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Solution

The fourth proportional to 25,982.49, 35,855.86 and 14,045.83 is: 19,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.49 : 35,855.86 = 14,045.83 : x
  2. Step 2: Convert to fraction form
    25,982.49/35,855.86 = 14,045.83/x
  3. Step 3: Cross multiply
    25,982.49x = 35,855.86 × 14,045.83
  4. Step 4: Simplify right side
    25,982.49x = 503,625,314.06
  5. Step 5: Solve for x
    x = 503,625,314.06/25,982.49
  6. Step 6: Final answer
    x = 19,383.26

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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.