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Finding the Fourth Proportional to 22,457.47, 33,689.28 and 7,662.42

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Solution

The fourth proportional to 22,457.47, 33,689.28 and 7,662.42 is: 11,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.47 : 33,689.28 = 7,662.42 : x
  2. Step 2: Convert to fraction form
    22,457.47/33,689.28 = 7,662.42/x
  3. Step 3: Cross multiply
    22,457.47x = 33,689.28 × 7,662.42
  4. Step 4: Simplify right side
    22,457.47x = 258,141,412.86
  5. Step 5: Solve for x
    x = 258,141,412.86/22,457.47
  6. Step 6: Final answer
    x = 11,494.68

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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.