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Finding the Fourth Proportional to 12,188.60, 18,255.15 and 9,539.58

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Solution

The fourth proportional to 12,188.60, 18,255.15 and 9,539.58 is: 14,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.60 : 18,255.15 = 9,539.58 : x
  2. Step 2: Convert to fraction form
    12,188.60/18,255.15 = 9,539.58/x
  3. Step 3: Cross multiply
    12,188.60x = 18,255.15 × 9,539.58
  4. Step 4: Simplify right side
    12,188.60x = 174,146,463.84
  5. Step 5: Solve for x
    x = 174,146,463.84/12,188.60
  6. Step 6: Final answer
    x = 14,287.66

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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.