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Finding the Fourth Proportional to 11,412.60, 17,094.60 and 9,468.60

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Solution

The fourth proportional to 11,412.60, 17,094.60 and 9,468.60 is: 14,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.60 : 17,094.60 = 9,468.60 : x
  2. Step 2: Convert to fraction form
    11,412.60/17,094.60 = 9,468.60/x
  3. Step 3: Cross multiply
    11,412.60x = 17,094.60 × 9,468.60
  4. Step 4: Simplify right side
    11,412.60x = 161,861,929.56
  5. Step 5: Solve for x
    x = 161,861,929.56/11,412.60
  6. Step 6: Final answer
    x = 14,182.74

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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.