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Finding the Fourth Proportional to 17,855.35, 24,642.15 and 9,899.11

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Solution

The fourth proportional to 17,855.35, 24,642.15 and 9,899.11 is: 13,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.35 : 24,642.15 = 9,899.11 : x
  2. Step 2: Convert to fraction form
    17,855.35/24,642.15 = 9,899.11/x
  3. Step 3: Cross multiply
    17,855.35x = 24,642.15 × 9,899.11
  4. Step 4: Simplify right side
    17,855.35x = 243,935,353.49
  5. Step 5: Solve for x
    x = 243,935,353.49/17,855.35
  6. Step 6: Final answer
    x = 13,661.75

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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.