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Finding the Fourth Proportional to 25,975.38, 35,847.87 and 14,645.93

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Solution

The fourth proportional to 25,975.38, 35,847.87 and 14,645.93 is: 20,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.38 : 35,847.87 = 14,645.93 : x
  2. Step 2: Convert to fraction form
    25,975.38/35,847.87 = 14,645.93/x
  3. Step 3: Cross multiply
    25,975.38x = 35,847.87 × 14,645.93
  4. Step 4: Simplify right side
    25,975.38x = 525,025,160.51
  5. Step 5: Solve for x
    x = 525,025,160.51/25,975.38
  6. Step 6: Final answer
    x = 20,212.41

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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.