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Finding the Fourth Proportional to 11,894.82, 17,830.08 and 8,599.74

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Solution

The fourth proportional to 11,894.82, 17,830.08 and 8,599.74 is: 12,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.82 : 17,830.08 = 8,599.74 : x
  2. Step 2: Convert to fraction form
    11,894.82/17,830.08 = 8,599.74/x
  3. Step 3: Cross multiply
    11,894.82x = 17,830.08 × 8,599.74
  4. Step 4: Simplify right side
    11,894.82x = 153,334,052.18
  5. Step 5: Solve for x
    x = 153,334,052.18/11,894.82
  6. Step 6: Final answer
    x = 12,890.83

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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.