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Finding the Fourth Proportional to 12,093.32, 18,122.96 and 9,617.16

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Solution

The fourth proportional to 12,093.32, 18,122.96 and 9,617.16 is: 14,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.32 : 18,122.96 = 9,617.16 : x
  2. Step 2: Convert to fraction form
    12,093.32/18,122.96 = 9,617.16/x
  3. Step 3: Cross multiply
    12,093.32x = 18,122.96 × 9,617.16
  4. Step 4: Simplify right side
    12,093.32x = 174,291,405.99
  5. Step 5: Solve for x
    x = 174,291,405.99/12,093.32
  6. Step 6: Final answer
    x = 14,412.20

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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.