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Finding the Fourth Proportional to 17,853.56, 24,638.04 and 9,895.88

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Solution

The fourth proportional to 17,853.56, 24,638.04 and 9,895.88 is: 13,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.56 : 24,638.04 = 9,895.88 : x
  2. Step 2: Convert to fraction form
    17,853.56/24,638.04 = 9,895.88/x
  3. Step 3: Cross multiply
    17,853.56x = 24,638.04 × 9,895.88
  4. Step 4: Simplify right side
    17,853.56x = 243,815,087.28
  5. Step 5: Solve for x
    x = 243,815,087.28/17,853.56
  6. Step 6: Final answer
    x = 13,656.38

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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.