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Finding the Fourth Proportional to 25,884.21, 35,732.25 and 19,513.38

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Solution

The fourth proportional to 25,884.21, 35,732.25 and 19,513.38 is: 26,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.21 : 35,732.25 = 19,513.38 : x
  2. Step 2: Convert to fraction form
    25,884.21/35,732.25 = 19,513.38/x
  3. Step 3: Cross multiply
    25,884.21x = 35,732.25 × 19,513.38
  4. Step 4: Simplify right side
    25,884.21x = 697,256,972.51
  5. Step 5: Solve for x
    x = 697,256,972.51/25,884.21
  6. Step 6: Final answer
    x = 26,937.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.