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Finding the Fourth Proportional to 25,854.94, 35,660.31 and 17,468.38

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Solution

The fourth proportional to 25,854.94, 35,660.31 and 17,468.38 is: 24,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.94 : 35,660.31 = 17,468.38 : x
  2. Step 2: Convert to fraction form
    25,854.94/35,660.31 = 17,468.38/x
  3. Step 3: Cross multiply
    25,854.94x = 35,660.31 × 17,468.38
  4. Step 4: Simplify right side
    25,854.94x = 622,927,846.00
  5. Step 5: Solve for x
    x = 622,927,846.00/25,854.94
  6. Step 6: Final answer
    x = 24,093.18

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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.