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Finding the Fourth Proportional to 17,855.08, 24,638.24 and 9,897.10

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Solution

The fourth proportional to 17,855.08, 24,638.24 and 9,897.10 is: 13,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.08 : 24,638.24 = 9,897.10 : x
  2. Step 2: Convert to fraction form
    17,855.08/24,638.24 = 9,897.10/x
  3. Step 3: Cross multiply
    17,855.08x = 24,638.24 × 9,897.10
  4. Step 4: Simplify right side
    17,855.08x = 243,847,125.10
  5. Step 5: Solve for x
    x = 243,847,125.10/17,855.08
  6. Step 6: Final answer
    x = 13,657.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.