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Finding the Fourth Proportional to 12,002.58, 17,984.43 and 9,086.58

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Solution

The fourth proportional to 12,002.58, 17,984.43 and 9,086.58 is: 13,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.58 : 17,984.43 = 9,086.58 : x
  2. Step 2: Convert to fraction form
    12,002.58/17,984.43 = 9,086.58/x
  3. Step 3: Cross multiply
    12,002.58x = 17,984.43 × 9,086.58
  4. Step 4: Simplify right side
    12,002.58x = 163,416,961.95
  5. Step 5: Solve for x
    x = 163,416,961.95/12,002.58
  6. Step 6: Final answer
    x = 13,615.15

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