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Finding the Fourth Proportional to 25,291.50, 37,911.33 and 10,509

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Solution

The fourth proportional to 25,291.50, 37,911.33 and 10,509 is: 15,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,291.50 : 37,911.33 = 10,509 : x
  2. Step 2: Convert to fraction form
    25,291.50/37,911.33 = 10,509/x
  3. Step 3: Cross multiply
    25,291.50x = 37,911.33 × 10,509
  4. Step 4: Simplify right side
    25,291.50x = 398,410,166.97
  5. Step 5: Solve for x
    x = 398,410,166.97/25,291.50
  6. Step 6: Final answer
    x = 15,752.73

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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.