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Finding the Fourth Proportional to 17,436, 24,064.92 and 9,984

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Solution

The fourth proportional to 17,436, 24,064.92 and 9,984 is: 13,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,436 : 24,064.92 = 9,984 : x
  2. Step 2: Convert to fraction form
    17,436/24,064.92 = 9,984/x
  3. Step 3: Cross multiply
    17,436x = 24,064.92 × 9,984
  4. Step 4: Simplify right side
    17,436x = 240,264,161.28
  5. Step 5: Solve for x
    x = 240,264,161.28/17,436
  6. Step 6: Final answer
    x = 13,779.78

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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.