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Finding the Fourth Proportional to 17,823, 24,597 and 10,749

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Solution

The fourth proportional to 17,823, 24,597 and 10,749 is: 14,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823 : 24,597 = 10,749 : x
  2. Step 2: Convert to fraction form
    17,823/24,597 = 10,749/x
  3. Step 3: Cross multiply
    17,823x = 24,597 × 10,749
  4. Step 4: Simplify right side
    17,823x = 264,393,153
  5. Step 5: Solve for x
    x = 264,393,153/17,823
  6. Step 6: Final answer
    x = 14,834.38

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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.