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Finding the Fourth Proportional to 17,199.82, 25,823.64 and 8,885.98

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Solution

The fourth proportional to 17,199.82, 25,823.64 and 8,885.98 is: 13,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,199.82 : 25,823.64 = 8,885.98 : x
  2. Step 2: Convert to fraction form
    17,199.82/25,823.64 = 8,885.98/x
  3. Step 3: Cross multiply
    17,199.82x = 25,823.64 × 8,885.98
  4. Step 4: Simplify right side
    17,199.82x = 229,468,348.57
  5. Step 5: Solve for x
    x = 229,468,348.57/17,199.82
  6. Step 6: Final answer
    x = 13,341.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.