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Finding the Fourth Proportional to 12,309.85, 18,476.66 and 11,643.85

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Solution

The fourth proportional to 12,309.85, 18,476.66 and 11,643.85 is: 17,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.85 : 18,476.66 = 11,643.85 : x
  2. Step 2: Convert to fraction form
    12,309.85/18,476.66 = 11,643.85/x
  3. Step 3: Cross multiply
    12,309.85x = 18,476.66 × 11,643.85
  4. Step 4: Simplify right side
    12,309.85x = 215,139,457.54
  5. Step 5: Solve for x
    x = 215,139,457.54/12,309.85
  6. Step 6: Final answer
    x = 17,477.02

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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.