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Finding the Fourth Proportional to 12,322.16, 18,486.36 and 6,477.20

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Solution

The fourth proportional to 12,322.16, 18,486.36 and 6,477.20 is: 9,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.16 : 18,486.36 = 6,477.20 : x
  2. Step 2: Convert to fraction form
    12,322.16/18,486.36 = 6,477.20/x
  3. Step 3: Cross multiply
    12,322.16x = 18,486.36 × 6,477.20
  4. Step 4: Simplify right side
    12,322.16x = 119,739,850.99
  5. Step 5: Solve for x
    x = 119,739,850.99/12,322.16
  6. Step 6: Final answer
    x = 9,717.44

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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.