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Finding the Fourth Proportional to 25,969.68, 35,832.38 and 15,897.33

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Solution

The fourth proportional to 25,969.68, 35,832.38 and 15,897.33 is: 21,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969.68 : 35,832.38 = 15,897.33 : x
  2. Step 2: Convert to fraction form
    25,969.68/35,832.38 = 15,897.33/x
  3. Step 3: Cross multiply
    25,969.68x = 35,832.38 × 15,897.33
  4. Step 4: Simplify right side
    25,969.68x = 569,639,090.06
  5. Step 5: Solve for x
    x = 569,639,090.06/25,969.68
  6. Step 6: Final answer
    x = 21,934.78

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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.