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Finding the Fourth Proportional to 17,855.42, 24,641.38 and 9,897.68

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Solution

The fourth proportional to 17,855.42, 24,641.38 and 9,897.68 is: 13,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.42 : 24,641.38 = 9,897.68 : x
  2. Step 2: Convert to fraction form
    17,855.42/24,641.38 = 9,897.68/x
  3. Step 3: Cross multiply
    17,855.42x = 24,641.38 × 9,897.68
  4. Step 4: Simplify right side
    17,855.42x = 243,892,494.00
  5. Step 5: Solve for x
    x = 243,892,494.00/17,855.42
  6. Step 6: Final answer
    x = 13,659.30

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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.