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Finding the Fourth Proportional to 17,907.98, 24,713.12 and 9,841.55

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Solution

The fourth proportional to 17,907.98, 24,713.12 and 9,841.55 is: 13,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.98 : 24,713.12 = 9,841.55 : x
  2. Step 2: Convert to fraction form
    17,907.98/24,713.12 = 9,841.55/x
  3. Step 3: Cross multiply
    17,907.98x = 24,713.12 × 9,841.55
  4. Step 4: Simplify right side
    17,907.98x = 243,215,233.36
  5. Step 5: Solve for x
    x = 243,215,233.36/17,907.98
  6. Step 6: Final answer
    x = 13,581.39

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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.