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Finding the Fourth Proportional to 17,947, 24,766.86 and 10,495

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Solution

The fourth proportional to 17,947, 24,766.86 and 10,495 is: 14,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947 : 24,766.86 = 10,495 : x
  2. Step 2: Convert to fraction form
    17,947/24,766.86 = 10,495/x
  3. Step 3: Cross multiply
    17,947x = 24,766.86 × 10,495
  4. Step 4: Simplify right side
    17,947x = 259,928,195.70
  5. Step 5: Solve for x
    x = 259,928,195.70/17,947
  6. Step 6: Final answer
    x = 14,483.10

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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.