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Finding the Fourth Proportional to 17,995, 24,833.10 and 10,543

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Solution

The fourth proportional to 17,995, 24,833.10 and 10,543 is: 14,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,995 : 24,833.10 = 10,543 : x
  2. Step 2: Convert to fraction form
    17,995/24,833.10 = 10,543/x
  3. Step 3: Cross multiply
    17,995x = 24,833.10 × 10,543
  4. Step 4: Simplify right side
    17,995x = 261,815,373.30
  5. Step 5: Solve for x
    x = 261,815,373.30/17,995
  6. Step 6: Final answer
    x = 14,549.34

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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.