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Finding the Fourth Proportional to 25,783.57, 35,574.69 and 15,171.22

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Solution

The fourth proportional to 25,783.57, 35,574.69 and 15,171.22 is: 20,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.57 : 35,574.69 = 15,171.22 : x
  2. Step 2: Convert to fraction form
    25,783.57/35,574.69 = 15,171.22/x
  3. Step 3: Cross multiply
    25,783.57x = 35,574.69 × 15,171.22
  4. Step 4: Simplify right side
    25,783.57x = 539,711,448.42
  5. Step 5: Solve for x
    x = 539,711,448.42/25,783.57
  6. Step 6: Final answer
    x = 20,932.38

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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.