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Finding the Fourth Proportional to 15,649.87, 23,472.87 and 6,289.51

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Solution

The fourth proportional to 15,649.87, 23,472.87 and 6,289.51 is: 9,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.87 : 23,472.87 = 6,289.51 : x
  2. Step 2: Convert to fraction form
    15,649.87/23,472.87 = 6,289.51/x
  3. Step 3: Cross multiply
    15,649.87x = 23,472.87 × 6,289.51
  4. Step 4: Simplify right side
    15,649.87x = 147,632,850.59
  5. Step 5: Solve for x
    x = 147,632,850.59/15,649.87
  6. Step 6: Final answer
    x = 9,433.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.