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Finding the Fourth Proportional to 22,457.16, 33,689.21 and 7,662.62

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Solution

The fourth proportional to 22,457.16, 33,689.21 and 7,662.62 is: 11,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.16 : 33,689.21 = 7,662.62 : x
  2. Step 2: Convert to fraction form
    22,457.16/33,689.21 = 7,662.62/x
  3. Step 3: Cross multiply
    22,457.16x = 33,689.21 × 7,662.62
  4. Step 4: Simplify right side
    22,457.16x = 258,147,407.57
  5. Step 5: Solve for x
    x = 258,147,407.57/22,457.16
  6. Step 6: Final answer
    x = 11,495.10

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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.