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Finding the Fourth Proportional to 25,196.49, 34,763.94 and 16,249.13

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Solution

The fourth proportional to 25,196.49, 34,763.94 and 16,249.13 is: 22,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.49 : 34,763.94 = 16,249.13 : x
  2. Step 2: Convert to fraction form
    25,196.49/34,763.94 = 16,249.13/x
  3. Step 3: Cross multiply
    25,196.49x = 34,763.94 × 16,249.13
  4. Step 4: Simplify right side
    25,196.49x = 564,883,525.31
  5. Step 5: Solve for x
    x = 564,883,525.31/25,196.49
  6. Step 6: Final answer
    x = 22,419.14

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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.