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Finding the Fourth Proportional to 22,457.49, 33,643.08 and 12,566.81

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Solution

The fourth proportional to 22,457.49, 33,643.08 and 12,566.81 is: 18,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.49 : 33,643.08 = 12,566.81 : x
  2. Step 2: Convert to fraction form
    22,457.49/33,643.08 = 12,566.81/x
  3. Step 3: Cross multiply
    22,457.49x = 33,643.08 × 12,566.81
  4. Step 4: Simplify right side
    22,457.49x = 422,786,025.96
  5. Step 5: Solve for x
    x = 422,786,025.96/22,457.49
  6. Step 6: Final answer
    x = 18,826.06

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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.